Charlesworth, Ian; Dykema, Ken; Sukochev, Fedor; Zanin, Dmitriy Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra. (English) Zbl 07250093 Can. J. Math. 72, No. 5, 1188-1245 (2020). MSC: 47C15 47A60 PDF BibTeX XML Cite \textit{I. Charlesworth} et al., Can. J. Math. 72, No. 5, 1188--1245 (2020; Zbl 07250093) Full Text: DOI
Baklouti, Hamadi; Feki, Kais; Ould Ahmed Mahmoud, Sid Ahmed Joint normality of operators in semi-Hilbertian spaces. (English) Zbl 07178188 Linear Multilinear Algebra 68, No. 4, 845-866 (2020). MSC: 47B15 47A13 46C50 47A05 47A15 PDF BibTeX XML Cite \textit{H. Baklouti} et al., Linear Multilinear Algebra 68, No. 4, 845--866 (2020; Zbl 07178188) Full Text: DOI
Vides, Fredy On uniform connectivity of algebraic matrix sets. (English) Zbl 07118768 Banach J. Math. Anal. 13, No. 4, 918-943 (2019). MSC: 47N40 47A58 15A60 15A27 PDF BibTeX XML Cite \textit{F. Vides}, Banach J. Math. Anal. 13, No. 4, 918--943 (2019; Zbl 07118768) Full Text: DOI Euclid
Oudadess, Mohamed Topological inductive limits of \(C^*\)-algebras. (English) Zbl 1427.46036 Abel, Mart (ed.), Proceedings of the international conference on topological algebras and their applications, ICTAA 2018, Tallinn, Estonia, January 25–28, 2018. Tartu: Estonian Mathematical Society. Math. Stud., Tartu 7, 100-111 (2018). MSC: 46K05 46K99 46A13 46M10 PDF BibTeX XML Cite \textit{M. Oudadess}, Math. Stud., Tartu 7, 100--111 (2018; Zbl 1427.46036)
Wawrzyńczyk, Antoni Subsets of nonempty joint spectrum in topological algebras. (English) Zbl 06997377 Math. Bohem. 143, No. 4, 441-448 (2018). MSC: 47A13 47A60 46H30 PDF BibTeX XML Cite \textit{A. Wawrzyńczyk}, Math. Bohem. 143, No. 4, 441--448 (2018; Zbl 06997377) Full Text: DOI
Wróbel, Błażej Joint spectral multipliers for mixed systems of operators. (English) Zbl 06722588 J. Fourier Anal. Appl. 23, No. 2, 245-287 (2017). MSC: 47A60 42B15 60G15 PDF BibTeX XML Cite \textit{B. Wróbel}, J. Fourier Anal. Appl. 23, No. 2, 245--287 (2017; Zbl 06722588) Full Text: DOI
Liu, Heping; Song, Manli A functional calculus and restriction theorem on H-type groups. (English) Zbl 1358.43008 Pac. J. Math. 286, No. 2, 291-305 (2017). Reviewer: Lubomira Softova (Aversa) MSC: 43A65 42B10 47A60 PDF BibTeX XML Cite \textit{H. Liu} and \textit{M. Song}, Pac. J. Math. 286, No. 2, 291--305 (2017; Zbl 1358.43008) Full Text: DOI arXiv
Sharyn, S. V. Joint functional calculus in algebra of polynomial tempered distributions. (English) Zbl 1374.47062 Methods Funct. Anal. Topol. 22, No. 1, 62-73 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47D03 46F05 47A60 PDF BibTeX XML Cite \textit{S. V. Sharyn}, Methods Funct. Anal. Topol. 22, No. 1, 62--73 (2016; Zbl 1374.47062) Full Text: arXiv
Migler, Joseph Functional calculus and joint torsion of pairs of almost commuting operators. (English) Zbl 1346.47003 Integral Equations Oper. Theory 85, No. 2, 167-190 (2016). Reviewer: Michal Zajac (Bratislava) MSC: 47A13 19C20 47A53 47A60 47B35 PDF BibTeX XML Cite \textit{J. Migler}, Integral Equations Oper. Theory 85, No. 2, 167--190 (2016; Zbl 1346.47003) Full Text: DOI arXiv
Hiai, Fumio Concavity of certain matrix trace and norm functions. II. (English) Zbl 1331.15014 Linear Algebra Appl. 496, 193-220 (2016). MSC: 15A60 47A30 47A60 PDF BibTeX XML Cite \textit{F. Hiai}, Linear Algebra Appl. 496, 193--220 (2016; Zbl 1331.15014) Full Text: DOI arXiv
Mirotin, Adolf R. On joint spectra of families of unbounded operators. (English. Russian original) Zbl 1380.47033 Izv. Math. 79, No. 6, 1235-1259 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 6, 145-170 (2015). Reviewer: Andrzej Sołtysiak (Poznań) MSC: 47D03 47A10 47A60 PDF BibTeX XML Cite \textit{A. R. Mirotin}, Izv. Math. 79, No. 6, 1235--1259 (2015; Zbl 1380.47033); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 6, 145--170 (2015) Full Text: DOI
van Neerven, Jan The \(L^p\)-Poincaré inequality for analytic Ornstein-Uhlenbeck semigroups. (English) Zbl 1341.47057 Arendt, Wolfgang (ed.) et al., Operator semigroups meet complex analysis, harmonic analysis and mathematical physics. Proceedings of the conference, Herrnhut, Germany, June 3–7, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-18493-7/hbk; 978-3-319-18494-4/ebook). Operator Theory: Advances and Applications 250, 353-368 (2015). MSC: 47D07 35R15 35R60 PDF BibTeX XML Cite \textit{J. van Neerven}, Oper. Theory: Adv. Appl. 250, 353--368 (2015; Zbl 1341.47057) Full Text: DOI
Dejonghe, Richard; Kimberly, Frey; Imbo, Tom A generalization of the functional calculus of observables and notion of joint measurability to the case of non-commuting observables. (English) Zbl 1309.47015 J. Phys. A, Math. Theor. 48, No. 14, Article ID 145302, 33 p. (2015). MSC: 47A60 81P15 PDF BibTeX XML Cite \textit{R. Dejonghe} et al., J. Phys. A, Math. Theor. 48, No. 14, Article ID 145302, 33 p. (2015; Zbl 1309.47015) Full Text: DOI arXiv
Dosi, Anar Functional calculus on Noetherian schemes. (Calcul fonctionnel sur les schémas noethériens.) (English. French summary) Zbl 1317.47020 C. R., Math., Acad. Sci. Paris 353, No. 1, 57-61 (2015). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A60 14A10 14A15 47A13 PDF BibTeX XML Cite \textit{A. Dosi}, C. R., Math., Acad. Sci. Paris 353, No. 1, 57--61 (2015; Zbl 1317.47020) Full Text: DOI
Wróbel, Błażej Dimension free \(L^p\) estimates for single Riesz transforms via an \(H^\infty\) joint functional calculus. (English) Zbl 1439.47010 J. Funct. Anal. 267, No. 9, 3332-3350 (2014). MSC: 47A60 42B15 42C10 PDF BibTeX XML Cite \textit{B. Wróbel}, J. Funct. Anal. 267, No. 9, 3332--3350 (2014; Zbl 1439.47010) Full Text: DOI arXiv
Hiai, Fumio Concavity of certain matrix trace and norm functions. (English) Zbl 1305.15053 Linear Algebra Appl. 439, No. 5, 1568-1589 (2013). MSC: 15A60 47A30 47A60 PDF BibTeX XML Cite \textit{F. Hiai}, Linear Algebra Appl. 439, No. 5, 1568--1589 (2013; Zbl 1305.15053) Full Text: DOI arXiv
Gutkin, Eugene; Życzkowski, Karol Joint numerical ranges, quantum maps, and joint numerical shadows. (English) Zbl 1266.15034 Linear Algebra Appl. 438, No. 5, 2394-2404 (2013). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 47A12 81P16 51M15 47B15 81P45 PDF BibTeX XML Cite \textit{E. Gutkin} and \textit{K. Życzkowski}, Linear Algebra Appl. 438, No. 5, 2394--2404 (2013; Zbl 1266.15034) Full Text: DOI arXiv
Martini, Alessio Analysis of joint spectral multipliers on Lie groups of polynomial growth. (English. French summary) Zbl 1255.43003 Ann. Inst. Fourier 62, No. 4, 1215-1263 (2012). Reviewer: M. J. Mehdipour (Shiraz) MSC: 43A22 22E30 42B15 PDF BibTeX XML Cite \textit{A. Martini}, Ann. Inst. Fourier 62, No. 4, 1215--1263 (2012; Zbl 1255.43003) Full Text: DOI arXiv
Mathieu, Martin; Ricker, Werner J. The Weyl calculus: finite dimensional aspects. (English) Zbl 1173.47011 Math. Proc. R. Ir. Acad. 107A, No. 2, 171-181 (2007). Reviewer: Stefan Neuwirth (Besançon) MSC: 47A60 15A27 PDF BibTeX XML Cite \textit{M. Mathieu} and \textit{W. J. Ricker}, Math. Proc. R. Ir. Acad. 107A, No. 2, 171--181 (2007; Zbl 1173.47011) Full Text: DOI Link
Sołtysiak, Andrzej Topological joint spectrum of generators and continuous characters. (English) Zbl 1149.46041 Jarosz, Krzysztof (ed.), Function spaces. Proceedings of the 5th conference, Edwardsville, IL, USA, May 16–20, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4061-0/pbk). Contemporary Mathematics 435, 355-362 (2007). MSC: 46H05 46J05 46H30 PDF BibTeX XML Cite \textit{A. Sołtysiak}, Contemp. Math. 435, 355--362 (2007; Zbl 1149.46041)
Wawrzyńczyk, Antoni Schur lemma and the spectral mapping formula. (English) Zbl 1118.46045 Bull. Pol. Acad. Sci., Math. 55, No. 1, 63-69 (2007). MSC: 46H10 46H30 46H15 PDF BibTeX XML Cite \textit{A. Wawrzyńczyk}, Bull. Pol. Acad. Sci., Math. 55, No. 1, 63--69 (2007; Zbl 1118.46045) Full Text: DOI
Sołtysiak, Andrzej On joint spectral radii in locally convex algebras. (English) Zbl 1113.46045 Stud. Math. 175, No. 1, 73-82 (2006). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 46H05 46J05 46H30 PDF BibTeX XML Cite \textit{A. Sołtysiak}, Stud. Math. 175, No. 1, 73--82 (2006; Zbl 1113.46045) Full Text: DOI
Dosiev, Anar Quasispectra of solvable Lie algebra homomorphisms into Banach algebras. (English) Zbl 1100.47015 Stud. Math. 174, No. 1, 13-27 (2006). MSC: 47A60 47A13 17B30 PDF BibTeX XML Cite \textit{A. Dosiev}, Stud. Math. 174, No. 1, 13--27 (2006; Zbl 1100.47015) Full Text: DOI
Szafraniec, Franciszek Hugon Favard’s theorem modulo an ideal. (English) Zbl 1076.42020 Alpay, Daniel (ed.) et al., Operator theory, systems theory and scattering theory: multidimensional generalizations. Basel: Birkhäuser (ISBN 3-7643-7212-5/hbk). Operator Theory: Advances and Applications 157, 301-310 (2005). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 47B15 47B25 PDF BibTeX XML Cite \textit{F. H. Szafraniec}, Oper. Theory: Adv. Appl. 157, 301--310 (2005; Zbl 1076.42020)
Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables. (English) Zbl 1070.42013 J. Approximation Theory 134, No. 1, 11-64 (2005). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 47B15 47B25 PDF BibTeX XML Cite \textit{D. Cichoń} et al., J. Approx. Theory 134, No. 1, 11--64 (2005; Zbl 1070.42013) Full Text: DOI
Pulemyotov, Artem On the generalized joint eigenvector expansion for commuting normal operators. (English) Zbl 1082.47014 Ball, Joseph A. (ed.) et al., Current trends in operator theory and its applications. Proceedings of the international workshop on operator theory and its applications (IWOTA), Virginia Tech, Blacksburg, VA, USA, August 6–9, 2002. Basel: Birkhäuser (ISBN 3-7643-7067-X/hbk). Operator Theory: Advances and Applications 149, 517-523 (2004). Reviewer: Samuel James Patterson (Göttingen) MSC: 47A70 47B15 47B25 PDF BibTeX XML Cite \textit{A. Pulemyotov}, Oper. Theory: Adv. Appl. 149, 517--523 (2004; Zbl 1082.47014)
Harte, Robin; Taylor, Ciaran The functional calculus and all that. (English) Zbl 1071.47018 International conference on operator theory and operator algebras, Altavilla Milicia, Sicili, Italy, June 23–29, 2004. Palermo: Circolo Matemático di Palermo. Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 73, 77-89 (2004). Reviewer: Mihai Putinar (Santa Barbara) MSC: 47A60 47A13 47-02 PDF BibTeX XML Cite \textit{R. Harte} and \textit{C. Taylor}, Suppl. Rend. Circ. Mat. Palermo (2) 73, 77--89 (2004; Zbl 1071.47018)
Müller, Vladimir Spectral theory of linear operators and spectral systems in Banach algebras. (English) Zbl 1017.47001 Operator Theory: Advances and Applications. 139. Basel: Birkhäuser. x, 381 p. (2003). Reviewer: Daniel Beltita (Bucureşti) MSC: 47-02 47Axx 47B48 47A10 47A60 PDF BibTeX XML Cite \textit{V. Müller}, Spectral theory of linear operators and spectral systems in Banach algebras. Basel: Birkhäuser (2003; Zbl 1017.47001)
Berndtsson, Bo; Andersson, Mats Non-holomorphic functional calculus for commuting operators with real spectrum. (English) Zbl 1099.47505 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 4, 925-955 (2002). Reviewer: Pedro J. Paúl (Sevilla) MSC: 47A60 47A13 32A25 32A65 46F05 PDF BibTeX XML Cite \textit{B. Berndtsson} and \textit{M. Andersson}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 4, 925--955 (2002; Zbl 1099.47505) Full Text: EuDML
Jefferies, B.; Johnson, G. W. Feynman’s operational calculi for noncommuting operators: spectral theory. (English) Zbl 1096.47502 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 2, 171-199 (2002). Reviewer: Alan J. Pryde (Clayton) MSC: 47A60 46H30 47A25 46N50 47N50 81S40 PDF BibTeX XML Cite \textit{B. Jefferies} and \textit{G. W. Johnson}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 2, 171--199 (2002; Zbl 1096.47502) Full Text: DOI
Jefferies, B.; Johnson, G. W. Feynman’s operational calculi for noncommuting operators: The monogenic calculus. (English) Zbl 1096.47501 Adv. Appl. Clifford Algebr. 11, No. 2, 239-264 (2001). Reviewer: Alan J. Pryde (Clayton) MSC: 47A60 46H30 47A25 30G35 PDF BibTeX XML Cite \textit{B. Jefferies} and \textit{G. W. Johnson}, Adv. Appl. Clifford Algebr. 11, No. 2, 239--264 (2001; Zbl 1096.47501) Full Text: DOI
Jefferies, Brian Spectral theory for systems of matrices. (English) Zbl 1043.15009 Kluev, V. V. (ed.) et al., Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press (ISBN 960-8052-47-6/hbk). Mathematics and Computers in Science and Engineering. A Series of Reference Books and Textbooks, 55-59 (2001). MSC: 15A18 15A66 35L40 PDF BibTeX XML Cite \textit{B. Jefferies}, in: Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press. 55--59 (2001; Zbl 1043.15009)
Dineen, Seán; Harte, Robin E.; Taylor, Ciaran Spectra of tensor product elements. I: Basic theory. (English) Zbl 1028.46076 Math. Proc. R. Ir. Acad. 101A, No. 2, 177-196 (2001). Reviewer: H.Junek (Potsdam) MSC: 46H30 46G20 46M05 47A60 PDF BibTeX XML Cite \textit{S. Dineen} et al., Math. Proc. R. Ir. Acad. 101A, No. 2, 177--196 (2001; Zbl 1028.46076)
Kalton, Nigel Applications of Banach space theory to sectorial operators. (English) Zbl 1018.47013 Bierstedt, Klaus D. (ed.) et al., Recent progress in functional analysis. Proceedings of the international functional analysis meeting on the occasion of the 70th birthday of Professor Manuel Valdivia, Valencia, Spain, July 3-7, 2000. Amsterdam: Elsevier. North-Holland Math. Stud. 189, 61-74 (2001). Reviewer: Daniel Beltita (Bucureşti) MSC: 47A60 47D06 PDF BibTeX XML Cite \textit{N. Kalton}, North-Holland Math. Stud. 189, 61--74 (2001; Zbl 1018.47013)
Pulemyotov, Artyom On the support of the product of resolutions of identity. (English) Zbl 0981.47019 Methods Funct. Anal. Topol. 7, No. 2, 75-80 (2001). Reviewer: A.N.Kochubei (Kyïv) MSC: 47B15 47L60 PDF BibTeX XML Cite \textit{A. Pulemyotov}, Methods Funct. Anal. Topol. 7, No. 2, 75--80 (2001; Zbl 0981.47019)
Akay, O.; Boudreaux-Bartels, G. Faye Joint fractional signal representations. (English) Zbl 0992.94005 J. Franklin Inst. 337, No. 4, 365-378 (2000). MSC: 94A12 47B15 PDF BibTeX XML Cite \textit{O. Akay} and \textit{G. F. Boudreaux-Bartels}, J. Franklin Inst. 337, No. 4, 365--378 (2000; Zbl 0992.94005) Full Text: DOI
Baur, Franziska; Ricker, Werner J. The Weyl calculus and a Cayley-Hamilton theorem for pairs of selfadjoint matrices. (English) Zbl 0968.15015 Linear Algebra Appl. 319, No. 1-3, 103-116 (2000). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A27 15B57 47A60 47A13 47B15 PDF BibTeX XML Cite \textit{F. Baur} and \textit{W. J. Ricker}, Linear Algebra Appl. 319, No. 1--3, 103--116 (2000; Zbl 0968.15015) Full Text: DOI
Andersson, Mats; Sandberg, Sebastian A constructive proof of the composition rule for Taylor’s functional calculus. (English) Zbl 0979.47014 Stud. Math. 142, No. 1, 65-69 (2000). Reviewer: F.H.Vasilescu (Villeneuve d’Ascq) MSC: 47A60 47A13 32A25 PDF BibTeX XML Cite \textit{M. Andersson} and \textit{S. Sandberg}, Stud. Math. 142, No. 1, 65--69 (2000; Zbl 0979.47014) Full Text: DOI EuDML
Aluthge, Ariyadasa; Wang, Derming \(w\)-hyponormal operators. (English) Zbl 0938.47021 Integral Equations Oper. Theory 36, No. 1, 1-10 (2000). MSC: 47B20 47B15 47A30 PDF BibTeX XML Cite \textit{A. Aluthge} and \textit{D. Wang}, Integral Equations Oper. Theory 36, No. 1, 1--10 (2000; Zbl 0938.47021) Full Text: DOI
Jang, Mi Kyung; Jung, Il Bong; Lee, Sang Hun Dual operator algebras and hereditary properties of minimal joint dilations. (English) Zbl 0961.47045 Kyungpook Math. J. 39, No. 2, 419-428 (1999). Reviewer: Catalin Badea (Villeneuve d’Ascq) MSC: 47L45 47A20 47A60 PDF BibTeX XML Cite \textit{M. K. Jang} et al., Kyungpook Math. J. 39, No. 2, 419--428 (1999; Zbl 0961.47045)
Chan, Kit C.; Čučković, Željko \(C^*\)-algebras generated by a subnormal operator. (English) Zbl 0910.47016 Trans. Am. Math. Soc. 351, No. 4, 1445-1460 (1999). MSC: 47B20 46L05 46E20 47A13 47B37 32A37 47B35 PDF BibTeX XML Cite \textit{K. C. Chan} and \textit{Ž. Čučković}, Trans. Am. Math. Soc. 351, No. 4, 1445--1460 (1999; Zbl 0910.47016) Full Text: DOI
Cao, Guangfu; Zhong, Changyong Automorphism group of Toeplitz algebras on certain pseudoconvex domains. (English) Zbl 0920.47022 Northeast. Math. J. 14, No. 1, 112-118 (1998). Reviewer: A.V.Chernecky (Odessa) MSC: 47B35 47A65 47B15 PDF BibTeX XML Cite \textit{G. Cao} and \textit{C. Zhong}, Northeast. Math. J. 14, No. 1, 112--118 (1998; Zbl 0920.47022)
Pott, Sandra Invariant subspaces for tuples with normal dilations. (English) Zbl 0919.47010 Albrecht, Ernst (ed.) et al., Banach algebras ’97. Proceedings of the 13th international conference on Banach algebras, Heinrich Fabri Institute, University of Tübingen, Blaubeuren, Germany, July 20–August 3, 1997. Berlin: Walter de Gruyter. 397-413 (1998). MSC: 47A15 47A60 47A45 47A20 PDF BibTeX XML Cite \textit{S. Pott}, in: Banach algebras '97. Proceedings of the 13th international conference on Banach algebras, Heinrich Fabri Institute, University of Tübingen, Blaubeuren, Germany, July 20--August 3, 1997. Berlin: Walter de Gruyter. 397--413 (1998; Zbl 0919.47010)
Beals, Richard; Greiner, Peter C.; Jiang, Yaping; Seco, Luis A functional calculus on the Heisenberg group and the boundary layer potential \(\square_+^{-1}\) for the \(\bar\partial\)-Neumann problem. (English) Zbl 0908.43007 J. Funct. Anal. 155, No. 1, 205-228 (1998). Reviewer: H.Schröder (Dortmund) MSC: 43A80 58J40 58J32 35S15 22E30 PDF BibTeX XML Cite \textit{R. Beals} et al., J. Funct. Anal. 155, No. 1, 205--228 (1998; Zbl 0908.43007) Full Text: DOI
Octavio, Alfredo; Petrovic, Srdjan Joint spectrum and nonisometric functional calculus. (English) Zbl 0913.47019 Bercovici, Hari (ed.) et al., Nonselfadjoint operator algebras, operator theory, and related topics. The Carl M. Pearcy anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 104, 197-201 (1998). MSC: 47A60 47A13 PDF BibTeX XML Cite \textit{A. Octavio} and \textit{S. Petrovic}, in: Nonselfadjoint operator algebras, operator theory, and related topics. The Carl M. Pearcy anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. 197--201 (1998; Zbl 0913.47019)
Lancien, Florence; Lancien, Gilles; Le Merdy, Christian A joint functional calculus for sectorial operators with commuting resolvents. (English) Zbl 0904.47015 Proc. Lond. Math. Soc., III. Ser. 77, No. 2, 387-414 (1998). Reviewer: C.Le Merdy (Besancon) MSC: 47A60 47D06 46H30 PDF BibTeX XML Cite \textit{F. Lancien} et al., Proc. Lond. Math. Soc. (3) 77, No. 2, 1 (1998; Zbl 0904.47015) Full Text: DOI
Rudol, Krzysztof Extensions of the Foiaş-Mlak spectral mapping theorem. (English) Zbl 0948.47020 Zesz. Nauk. Uniw. Jagiell. 1208, Univ. Iagell. Acta Math. 34, 101-111 (1997). MSC: 47A60 47A13 46H30 PDF BibTeX XML Cite \textit{K. Rudol}, Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math. 1208(34), 101--111 (1997; Zbl 0948.47020)
Us, G. F. Functions of countable families of commuting selfadjoint operators. (English) Zbl 0940.47013 Methods Funct. Anal. Topol. 3, No. 1, 89-97 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 47A60 47A70 PDF BibTeX XML Cite \textit{G. F. Us}, Methods Funct. Anal. Topol. 3, No. 1, 89--97 (1997; Zbl 0940.47013)
Kisil, Vladimir V. Möbius transformations and monogenic functional calculus. (English) Zbl 0869.47013 Electron. Res. Announc. Am. Math. Soc. 2, No. 1, 26-33 (1996). MSC: 47A60 47A13 47A10 47B15 81Q10 46H30 30G35 PDF BibTeX XML Cite \textit{V. V. Kisil}, Electron. Res. Announc. Am. Math. Soc. 02, No. 1, 26--33 (1996; Zbl 0869.47013) Full Text: DOI EuDML
Lancien, Florence; Lancien, Gilles; Le Merdy, Christian Joint functional calculus for sectorial operators. (Un calcul fonctionnel joint pour des opérateurs sectoriels.) (French. Abridged English version) Zbl 0858.47013 C. R. Acad. Sci., Paris, Sér. I 323, No. 3, 263-268 (1996). MSC: 47A60 47H30 46B42 PDF BibTeX XML Cite \textit{F. Lancien} et al., C. R. Acad. Sci., Paris, Sér. I 323, No. 3, 263--268 (1996; Zbl 0858.47013)
Lauter, Robert A multidimensional holomorphic functional calculus for \(\Psi_ 0\)-algebras with methods of J. L. Taylor. (English) Zbl 0866.47004 Gheondea, A. (ed.) et al., Topics in operator theory, operator algebras and applications. 15th international conference on operator theory, Timişoara, Romania, June 6–10, 1994. Bucharest: Institute of Mathematics of the Romanian Academy. 193-220 (1995). MSC: 47A13 47A60 46H35 PDF BibTeX XML Cite \textit{R. Lauter}, in: Topics in operator theory, operator algebras and applications. 15th international conference on operator theory, Timişoara, Romania, June 6--10, 1994. Bucharest: Institute of Mathematics of the Romanian Academy. 193--220 (1995; Zbl 0866.47004)
Greiner, Günther; Ricker, W. J. Commutativity of compact selfadjoint operators. (English) Zbl 0817.47004 Stud. Math. 112, No. 2, 109-125 (1995). MSC: 47A13 47A60 47A25 47B15 PDF BibTeX XML Cite \textit{G. Greiner} and \textit{W. J. Ricker}, Stud. Math. 112, No. 2, 109--125 (1995; Zbl 0817.47004) Full Text: EuDML
Octavio, Alfredo Coisometric extension and functional calculus for pairs of commuting contractions. (English) Zbl 0872.47009 J. Oper. Theory 31, No. 1, 67-82 (1994). MSC: 47A60 47A20 PDF BibTeX XML Cite \textit{A. Octavio}, J. Oper. Theory 31, No. 1, 67--82 (1994; Zbl 0872.47009)
Vasilescu, F.-H. Operator-valued Poisson kernels and standard models in several variables. (English) Zbl 0829.47016 Curto, Raúl E. (ed.) et al., Algebraic methods in operator theory. Boston, MA: Birkhäuser. 37-46 (1994). Reviewer: J.L.R.Webb (Glasgow) MSC: 47A60 47A13 47A45 PDF BibTeX XML Cite \textit{F. H. Vasilescu}, in: Algebraic methods in operator theory. Boston, MA: Birkhäuser. 37--46 (1994; Zbl 0829.47016)
Gaşpar, Dumitru; Suciu, Nicolae On the extended spectrum of \(H^ \infty (D^ n)\)-representations. (English) Zbl 0863.47014 An. Univ. Timiş., Ser. Mat.-Inform. 31, No. 2, 189-201 (1993). MSC: 47A60 47A15 47A13 PDF BibTeX XML Cite \textit{D. Gaşpar} and \textit{N. Suciu}, An. Univ. Timiş., Ser. Mat.-Inform. 31, No. 2, 189--201 (1993; Zbl 0863.47014)
Greiner, Günther; Ricker, W. J. Joint spectra and commutativity of systems of \((2\times 2)\) selfadjoint matrices. (English) Zbl 0794.15007 Linear Multilinear Algebra 36, No. 1, 47-58 (1993). Reviewer: A.L.Andrew (Bundoora) MSC: 15A27 47A10 15A18 15A60 47B15 PDF BibTeX XML Cite \textit{G. Greiner} and \textit{W. J. Ricker}, Linear Multilinear Algebra 36, No. 1, 47--58 (1993; Zbl 0794.15007) Full Text: DOI
Rudol, Krzysztof Separation property and uniqueness of some spectra on \(H^ \infty\). (English) Zbl 0815.46043 Bull. Pol. Acad. Sci., Math. 41, No. 1, 51-54 (1993). MSC: 46J15 46H30 30D50 47D99 PDF BibTeX XML Cite \textit{K. Rudol}, Bull. Pol. Acad. Sci., Math. 41, No. 1, 51--54 (1993; Zbl 0815.46043)
Chō, Muneo; Huruya, Tadasi A note on the joint operator norm of Hermitian operators on Banach spaces. (English) Zbl 0779.47019 Glasg. Math. J. 34, No. 2, 219-220 (1992). Reviewer: T.Regińska (Warszawa) MSC: 47B15 PDF BibTeX XML Cite \textit{M. Chō} and \textit{T. Huruya}, Glasg. Math. J. 34, No. 2, 219--220 (1992; Zbl 0779.47019) Full Text: DOI
Gokhale, Sudhir; Salinas, Norberto Some applications of K-theory and Ext-theory to joint quasitriangularity. (English) Zbl 0726.47002 Analysis and partial differential equations, Coll. Pap. dedic. Mischa Cotlar, Lect. Notes Pure Appl. Math. 122, 495-514 (1990). Reviewer: V.Panchapagesan Thiruyaiyaru (Merida) MSC: 47A15 46L80 46M20 47B15 PDF BibTeX XML
Pryde, A. J. Functional calculus for non-commuting operators. (English) Zbl 0711.47015 Miniconference on operators in analysis, Proc. Miniconf., Sydney/Australia 1989, Proc. Cent. Math. Anal. Aust. Natl. Univ. 24, 197-205 (1990). Reviewer: A.Torgašev MSC: 47A60 47A10 PDF BibTeX XML
Misra, Gadadhar; Narasimha Sastry, N. S. Homogeneous tuples of operators and representations of some classical groups. (English) Zbl 0776.47006 J. Oper. Theory 24, No. 1, 23-32 (1990). MSC: 47A13 47A10 22D10 47A60 PDF BibTeX XML Cite \textit{G. Misra} and \textit{N. S. Narasimha Sastry}, J. Oper. Theory 24, No. 1, 23--32 (1990; Zbl 0776.47006)
Kokk, A. On almost commutative algebras. (English) Zbl 0746.46046 Uch. Zap. Tartu. Gos. Univ. 899, 121-136 (1990). MSC: 46H05 46J05 46H30 PDF BibTeX XML
Deferrari, G.; Larotonda, A.; Zalduendo, I. Sheaves and functional calculus. (English) Zbl 0736.46045 Pac. J. Math. 141, No. 2, 279-286 (1990). MSC: 46H30 46J05 46M20 PDF BibTeX XML Cite \textit{G. Deferrari} et al., Pac. J. Math. 141, No. 2, 279--286 (1990; Zbl 0736.46045) Full Text: DOI
Chō, Muneo Joint spectra of commuting pairs and uniform convexity. (English) Zbl 0693.47023 Rev. Roum. Math. Pures Appl. 34, No. 7, 607-614 (1989). Reviewer: M.Radjabalipour MSC: 47B20 47A10 47A12 47B15 PDF BibTeX XML Cite \textit{M. Chō}, Rev. Roum. Math. Pures Appl. 34, No. 7, 607--614 (1989; Zbl 0693.47023)
Curto, Rául E. Applications of several complex variables to multiparameter spectral theory. (English) Zbl 0827.47005 Conway, John B. (ed.) et al., Surveys of some recent results in operator theory. Vol. II. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 192, 25-90 (1989). Reviewer: J.Eschmeier (MR 90d:47007) MSC: 47A13 47A10 47A60 46J05 47A53 47B20 PDF BibTeX XML Cite \textit{R. E. Curto}, in: Surveys of some recent results in operator theory. Vol. II. Harlow: Longman Scientific \& Technical. 25--90 (1989; Zbl 0827.47005)
Pryde, A. J. A non-commutative joint spectral theory. (English) Zbl 0705.47013 Functional analysis and optimization, Workshop/Miniconf., Canberra/Australia 1988, Proc. Cent. Math. Anal. Aust. Natl. Univ. 20, 153-177 (1988). MSC: 47A60 47A66 47A10 PDF BibTeX XML
Li, Shaokuan; Ji, Yao On Taylor’s joint spectrum of 2n-tuple \((L_ A,R_ B)\). (English) Zbl 0696.47005 Sci. Sin., Ser. A 31, No. 12, 1424-1433 (1988). Reviewer: R.C.Gilbert MSC: 47A10 47A53 47A60 47B47 PDF BibTeX XML Cite \textit{S. Li} and \textit{Y. Ji}, Sci. Sin., Ser. A 31, No. 12, 1424--1433 (1988; Zbl 0696.47005)
Chō, Muneo Joint spectra of commuting normal operators on Banach spaces. (English) Zbl 0689.47001 Glasg. Math. J. 30, No. 3, 339-345 (1988). Reviewer: M.Lesch MSC: 47A10 47B15 PDF BibTeX XML Cite \textit{M. Chō}, Glasg. Math. J. 30, No. 3, 339--345 (1988; Zbl 0689.47001) Full Text: DOI
Filippenko, V. I. On countable collections of commuting normal operators. (Russian) Zbl 0674.47012 Funkts. Anal. 28, 118-125 (1988). Reviewer: Mircea Martin MSC: 47B15 PDF BibTeX XML Cite \textit{V. I. Filippenko}, Funkts. Anal. 28, 118--125 (1988; Zbl 0674.47012)
Charbonnel, Anne-Marie Comportement semi-classique du spectre conjoint d’opérateurs pseudodifférentiels qui commutent. (Semiclassical behavior of the joint spectrum of commuting pseudodifferential operators). (French) Zbl 0665.35080 Asymptotic Anal. 1, No. 3, 227-261 (1988). MSC: 35S05 35P05 35J10 PDF BibTeX XML Cite \textit{A.-M. Charbonnel}, Asymptotic Anal. 1, No. 3, 227--261 (1988; Zbl 0665.35080)
Stochel, Jerzy Bartłomiej Transformations of joint spectral sets and spectral sets of tensor products of operators. (English) Zbl 0649.47007 Zesz. Nauk. Akad. Górn.-Hutn. Stanisł. Staszica 1053, Opusc. Math. 3, 103-115 (1987). Reviewer: E.Azoff MSC: 47A25 47A10 47A60 PDF BibTeX XML Cite \textit{J. B. Stochel}, Zesz. Nauk. Akad. Górn.-Hutn. Stanisł. Staszica, Opusc. Math. 1053(3), 103--115 (1987; Zbl 0649.47007)
Niechwiej, Jan Support of the joint spectral measure. (English) Zbl 0642.47011 J. Aust. Math. Soc., Ser. A 43, 74-80 (1987). Reviewer: Rho Yae-Chul MSC: 47B15 47B25 47B20 PDF BibTeX XML Cite \textit{J. Niechwiej}, J. Aust. Math. Soc., Ser. A 43, 74--80 (1987; Zbl 0642.47011)
Curto, Raúl E.; Fialkow, Lawrence A. Elementary operators with \(H^{\infty}\)-symbols. (English) Zbl 0639.47004 Integral Equations Oper. Theory 10, 707-720 (1987). Reviewer: R.E.Curto MSC: 47A10 47A53 47B47 47A60 47A62 47B35 PDF BibTeX XML Cite \textit{R. E. Curto} and \textit{L. A. Fialkow}, Integral Equations Oper. Theory 10, 707--720 (1987; Zbl 0639.47004) Full Text: DOI
Pryde, Alan J. Estimates for linear systems of operator equations. (English) Zbl 0639.47013 Operator theory and partial differential equations, Miniconf. Ryde/Aust. 1986, Proc. Cent. Math. Anal. Aust. Natl. Univ. 14, 35-51 (1986). Reviewer: A.J.Pryde MSC: 47A62 47A60 47A10 PDF BibTeX XML
Slodkowski, Zbigniew Analytic perturbation of the Taylor spectrum. (English) Zbl 0627.47007 Trans. Am. Math. Soc. 297, 319-336 (1986). MSC: 47A56 47A60 47A10 47A55 PDF BibTeX XML Cite \textit{Z. Slodkowski}, Trans. Am. Math. Soc. 297, 319--336 (1986; Zbl 0627.47007) Full Text: DOI
Huang, Danrun; Zhang, Dianzhou Joint spectrum and unbounded operator algebras. (English) Zbl 0621.47006 Acta Math. Sin., New Ser. 2, No. 3, 260-269 (1986). MSC: 47A10 47B15 47L60 PDF BibTeX XML Cite \textit{D. Huang} and \textit{D. Zhang}, Acta Math. Sin., New Ser. 2, No. 3, 260--269 (1986; Zbl 0621.47006) Full Text: DOI
Slavova, Sl. K.; Tsvjatkov, Kr. D. Spectral mapping theorems - applications to some spectral properties of linear transformers. (English) Zbl 0619.47012 Complex analysis and applications, Proc. Conf., Varna/Bulg. 1985, 623-634 (1986). MSC: 47A62 47A60 47A10 PDF BibTeX XML
Slavova, Sl. K. Spectral properties of linear transformers. (English) Zbl 0619.47011 Complex analysis and applications, Proc. Conf., Varna/Bulg. 1985, 609-622 (1986). MSC: 47A62 47A10 47A60 PDF BibTeX XML
Wrobel, Volker Multi-dimensional spectral theory of bounded linear operators in locally convex spaces. (English) Zbl 0585.47001 Math. Ann. 275, 409-423 (1986). MSC: 47A10 47A60 PDF BibTeX XML Cite \textit{V. Wrobel}, Math. Ann. 275, 409--423 (1986; Zbl 0585.47001) Full Text: DOI EuDML
Rudol, K. Spectral mapping theorems for analytic functional calculi. (English) Zbl 0585.46044 Advances in invariant subspaces and other results of operator theory, 9th Int. Conf. Oper. Theory, Timişoara & Herculane/Rom. 1984, Oper. Theory, Adv. Appl. 17, 331-340 (1986). MSC: 46H30 47A60 47A10 46J15 PDF BibTeX XML
Turovskij, Yu. V. On spectral properties of some Lie subalgebras and the spectral radius of subsets of a Banach algebra. (Russian) Zbl 0633.46052 Spektr. Teor. Oper. Prilozh. 6, 144-181 (1985). Reviewer: W.Żelazko MSC: 46H30 46L70 47A10 47A25 46H10 17B60 PDF BibTeX XML Cite \textit{Yu. V. Turovskij}, Spektr. Teor. Oper. Prilozh. 6, 144--181 (1985; Zbl 0633.46052)
Huang, Danrun Joint numerical ranges for unbounded normal operators. (English) Zbl 0577.47006 Proc. Edinb. Math. Soc., II. Ser. 28, 225-232 (1985). MSC: 47A12 47B15 47L60 PDF BibTeX XML Cite \textit{D. Huang}, Proc. Edinb. Math. Soc., II. Ser. 28, 225--232 (1985; Zbl 0577.47006) Full Text: DOI
Curto, Raúl E.; Herrero, Domingo A. On closures of joint similarity orbits. (English) Zbl 0569.47018 Integral Equations Oper. Theory 8, 489-556 (1985). MSC: 47A55 47B38 47A10 47B15 47A65 47A15 47A53 PDF BibTeX XML Cite \textit{R. E. Curto} and \textit{D. A. Herrero}, Integral Equations Oper. Theory 8, 489--556 (1985; Zbl 0569.47018) Full Text: DOI
Faĭnshteĭn, A. S. Fredholm property and index of a function of right and left multiplication operators. (Russian. English summary) Zbl 0586.47012 Dokl., Akad. Nauk Az. SSR 40, No. 11, 3-7 (1984). Reviewer: N.Vasilevski MSC: 47A53 47A60 PDF BibTeX XML Cite \textit{A. S. Faĭnshteĭn}, Dokl., Akad. Nauk Az. SSR 40, No. 11, 3--7 (1984; Zbl 0586.47012)
Patel, A. B. Joint essential spectra. (English) Zbl 0571.47001 Czech. Math. J. 34(109), 598-603 (1984). MSC: 47A10 47B15 47A53 PDF BibTeX XML Cite \textit{A. B. Patel}, Czech. Math. J. 34(109), 598--603 (1984; Zbl 0571.47001) Full Text: EuDML
Wei, Guoqing Spectral orthogonal projective property of operators. (Chinese. English summary) Zbl 0563.47024 J. East China Norm. Univ., Nat. Sci. Ed. 1984, No. 4, 42-49 (1984). MSC: 47B40 47A10 47B20 PDF BibTeX XML Cite \textit{G. Wei}, J. East China Norm. Univ., Nat. Sci. Ed. 1984, No. 4, 42--49 (1984; Zbl 0563.47024)
Putinar, Mihai Spectral theory of Stein algebras representations. I. (Romanian. English summary) Zbl 0546.46059 Stud. Cercet. Mat. 36, 193-220 (1984). MSC: 46M20 46H30 32E10 46H25 47A60 PDF BibTeX XML Cite \textit{M. Putinar}, Stud. Cercet. Mat. 36, 193--220 (1984; Zbl 0546.46059)
Putinar, M. Functional calculus and the Gelfand transformation. (English) Zbl 0498.47009 Stud. Math. 79, 83-86 (1984). MSC: 47A60 46H30 32D10 32E10 PDF BibTeX XML Cite \textit{M. Putinar}, Stud. Math. 79, 83--86 (1984; Zbl 0498.47009) Full Text: DOI EuDML
Slavova, S. K. Mapping theorems for joint spectra of commuting operators and its parts. (Russian) Zbl 0599.47005 C. R. Acad. Bulg. Sci. 36, 743-746 (1983). MSC: 47A10 47A60 47A25 PDF BibTeX XML Cite \textit{S. K. Slavova}, C. R. Acad. Bulg. Sci. 36, 743--746 (1983; Zbl 0599.47005)
Chō, Muneo; Takaguchi, Makoto On the joint spectrum of commuting normal operators. (English) Zbl 0549.47008 Sci. Rep. Hirosaki Univ. 30, 1-4 (1983). Reviewer: K.Takahashi MSC: 47B15 47A10 47A12 PDF BibTeX XML Cite \textit{M. Chō} and \textit{M. Takaguchi}, Sci. Rep. Hirosaki Univ. 30, 1--4 (1983; Zbl 0549.47008)
Bunyatov, M. R.; Dzhabrailova, R. P. Koszul’s homology theory and Fredholm families. (Russian. English summary) Zbl 0548.47013 Dokl., Akad. Nauk Az. SSR 39, No. 8, 3-6 (1983). Reviewer: R.-N.Gologan MSC: 47A60 16Exx 46M20 PDF BibTeX XML Cite \textit{M. R. Bunyatov} and \textit{R. P. Dzhabrailova}, Dokl., Akad. Nauk Az. SSR 39, No. 8, 3--6 (1983; Zbl 0548.47013)
Rudol, Krzysztof Extended spectrum of subnormal representation. (English) Zbl 0547.47015 Bull. Pol. Acad. Sci., Math. 31, 361-368 (1983). MSC: 47B20 47A10 46H30 PDF BibTeX XML Cite \textit{K. Rudol}, Bull. Pol. Acad. Sci., Math. 31, 361--368 (1983; Zbl 0547.47015)
Jakóbczak, Piotr; Janas, Jan On Nikolski theorem for several operators. (English) Zbl 0547.47001 Bull. Pol. Acad. Sci., Math. 31, 369-374 (1983). MSC: 47A10 47A60 PDF BibTeX XML Cite \textit{P. Jakóbczak} and \textit{J. Janas}, Bull. Pol. Acad. Sci., Math. 31, 369--374 (1983; Zbl 0547.47001)
Frunză, Ştefan On the spectral semi-distance and quasi-nilpotent equivalence for systems of operators. (English) Zbl 0537.47002 J. Oper. Theory 10, 57-60 (1983). Reviewer: R.Carlson MSC: 47A10 47A30 47A60 PDF BibTeX XML Cite \textit{Ş. Frunză}, J. Oper. Theory 10, 57--60 (1983; Zbl 0537.47002)
Janas, J. On the theorem of Lebow and Mlak for several commuting operators. (English) Zbl 0535.47003 Stud. Math. 76, 249-253 (1983). MSC: 47A10 47A60 46J15 PDF BibTeX XML Cite \textit{J. Janas}, Stud. Math. 76, 249--253 (1983; Zbl 0535.47003) Full Text: DOI EuDML
Tonev, Toma V. Commutative Banach algebras and analytic functions of countable many variables. (English) Zbl 0535.46026 Complex analysis - Proc. 5th Rom.-Finn.Semin., Bucharest 1981, Part 2, Lect. Notes Math. 1014, 123-128 (1983). Reviewer: S.Dineen MSC: 46J05 46H30 32E20 PDF BibTeX XML
Mathieu, Martin Spectral theory for multiplication operators on \(C^*\)-algebras. (English) Zbl 0534.46042 Proc. R. Ir. Acad., Sect. A 83, 231-249 (1983). MSC: 46L05 47C15 47A10 47A60 PDF BibTeX XML Cite \textit{M. Mathieu}, Proc. R. Ir. Acad., Sect. A 83, 231--249 (1983; Zbl 0534.46042)
Levi, R. N. Cohomology invariants of collections of essentially commuting operators. (English. Russian original) Zbl 0533.46044 Funct. Anal. Appl. 17, 229-230 (1983); translation from Funkts. Anal. Prilozh. 17, No. 3, 79-80 (1983). Reviewer: A.Torgašev MSC: 46M20 47A60 47B35 47A10 PDF BibTeX XML Cite \textit{R. N. Levi}, Funct. Anal. Appl. 17, 229--230 (1983; Zbl 0533.46044); translation from Funkts. Anal. Prilozh. 17, No. 3, 79--80 (1983) Full Text: DOI
Patel, A. B. A joint spectral theorem for unbounded normal operators. (English) Zbl 0523.47010 J. Aust. Math. Soc., Ser. A 34, 203-213 (1983). MSC: 47A60 47B15 47A10 46L05 PDF BibTeX XML Cite \textit{A. B. Patel}, J. Aust. Math. Soc., Ser. A 34, 203--213 (1983; Zbl 0523.47010)
Chang, Dianzhou; Wang, Zongyao The Taylor joint spectrum of a tuple of unbounded operators. (Chinese) Zbl 0519.47010 J. East China Norm. Univ., Nat. Sci. Ed. 1983, No. 3, 7-12 (1983). MSC: 47A60 47A10 PDF BibTeX XML Cite \textit{D. Chang} and \textit{Z. Wang}, J. East China Norm. Univ., Nat. Sci. Ed. 1983, No. 3, 7--12 (1983; Zbl 0519.47010)