Lin, Zhiwu; Zeng, Chongchun Instability, index theorem, and exponential trichotomy for linear Hamiltonian PDEs. (English) Zbl 1506.35010 Memoirs of the American Mathematical Society 1347. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5044-1/pbk; 978-1-4704-7013-5/ebook). v, 136 p. (2022). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 35B35 37K45 35P05 47A10 35Q31 35Q53 PDF BibTeX XML Cite \textit{Z. Lin} and \textit{C. Zeng}, Instability, index theorem, and exponential trichotomy for linear Hamiltonian PDEs. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1506.35010) Full Text: DOI arXiv
Hernández Chávez, Luis Roberto; Wawrzyńczyk, Antoni Joint spectra and restricted Gelfand transform. (English) Zbl 07342826 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 6, 11 p. (2021). MSC: 47A13 47A60 46H30 PDF BibTeX XML Cite \textit{L. R. Hernández Chávez} and \textit{A. Wawrzyńczyk}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 6, 11 p. (2021; Zbl 07342826) Full Text: DOI
Wawrzyńczyk, Antoni Subsets of nonempty joint spectrum in topological algebras. (English) Zbl 1463.47027 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 1463.47027) Full Text: DOI
Edmunds, D. E.; Evans, W. D.; Harris, D. J. Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. II. (English) Zbl 1260.47020 Janas, Jan (ed.) et al., Spectral theory and analysis. Conference on operator theory, analysis and mathematical physics (OTAMP) 2008, Bedlewo, Poland. Berlin: Springer (ISBN 978-3-7643-9993-1/hbk; 978-94-007-0431-2/ebook). Operator Theory: Advances and Applications 214, 21-37 (2011). Reviewer: Jesús Hernández (Madrid) MSC: 47A75 47B06 35P30 47B07 35J70 47A67 PDF BibTeX XML Cite \textit{D. E. Edmunds} et al., Oper. Theory: Adv. Appl. 214, 21--37 (2011; Zbl 1260.47020) Full Text: DOI
Velázquez González, Armando The spectral mapping formula in Arens-Michael-Fréchet algebras. (English) Zbl 1226.46048 Bol. Soc. Mat. Mex., III. Ser. 15, No. 2, 175-178 (2009). Reviewer: Mati Abel (Tartu) MSC: 46H20 46H05 PDF BibTeX XML Cite \textit{A. Velázquez González}, Bol. Soc. Mat. Mex., III. Ser. 15, No. 2, 175--178 (2009; Zbl 1226.46048)
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
Velázquez González, Armando; Wawrzyńczyk, Antoni Spectral mapping formula for Waelbroeck algebras and their subalgebras. (English) Zbl 1050.46037 Arizmendi, Hugo (ed.) et al., Topological algebras and their applications. Proceedings of the 4th international conference, Oaxaca, Mexico, July 1–5, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3556-4/pbk). Contemp. Math. 341, 127-131 (2004). Reviewer: Srinivasa Swaminathan (Halifax) MSC: 46J40 46H20 PDF BibTeX XML Cite \textit{A. Velázquez González} and \textit{A. Wawrzyńczyk}, Contemp. Math. 341, 127--131 (2004; Zbl 1050.46037)
Martínez Meléndez, Angel Topological algebras and \(\alpha\)-spectrum. (English) Zbl 1055.46033 Arizmendi, Hugo (ed.) et al., Topological algebras and their applications. Proceedings of the 4th international conference, Oaxaca, Mexico, July 1–5, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3556-4/pbk). Contemp. Math. 341, 97-104 (2004). Reviewer: Mati Abel (Tartu) MSC: 46H05 PDF BibTeX XML Cite \textit{A. Martínez Meléndez}, Contemp. Math. 341, 97--104 (2004; Zbl 1055.46033)
Bátkai, András; Fašanga, Eva The spectral mapping theorem for Davies’ functional calculus. (English) Zbl 1100.47505 Rev. Roum. Math. Pures Appl. 48, No. 4, 365-372 (2003). MSC: 47A60 PDF BibTeX XML Cite \textit{A. Bátkai} and \textit{E. Fašanga}, Rev. Roum. Math. Pures Appl. 48, No. 4, 365--372 (2003; Zbl 1100.47505)
Gohberg, Israel; Goldberg, Seymour; Kaashoek, Marinus A. Basic classes of linear operators. (English) Zbl 1065.47001 Basel: Birkhäuser (ISBN 3-7643-6930-2/pbk). xvii, 423 p. (2003). Reviewer: Aleksandar Perović (Berlin) MSC: 47-01 46-01 47Axx 47Bxx 47G10 47N20 PDF BibTeX XML Cite \textit{I. Gohberg} et al., Basic classes of linear operators. Basel: Birkhäuser (2003; Zbl 1065.47001)
Müller, V. On the Taylor functional calculus. (English) Zbl 1005.47017 Stud. Math. 150, No. 1, 79-97 (2002). Reviewer: Mikhail Yu.Kokurin (Yoshkar-Ola) MSC: 47A60 47A13 PDF BibTeX XML Cite \textit{V. Müller}, Stud. Math. 150, No. 1, 79--97 (2002; Zbl 1005.47017) Full Text: DOI
Gohberg, Israel; Goldberg, Seymour Basic operator theory. Paperback ed. (English) Zbl 0990.47001 Boston, MA: Birkhäuser. xii, 285 p. (2001). Reviewer: Dumitrŭ Popa (Constanta) MSC: 47-01 46-01 47E05 47Gxx 65J10 47A10 47B06 47A53 47H10 PDF BibTeX XML Cite \textit{I. Gohberg} and \textit{S. Goldberg}, Basic operator theory. Paperback ed. Boston, MA: Birkhäuser (2001; Zbl 0990.47001)
Appell, J.; de Pascale, E.; Vignoli, A. A comparison of different spectra for nonlinear operators. (English) Zbl 0956.47035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1-8, 73-90 (2000). Reviewer: Ulrich Kosel (Freiberg) MSC: 47J10 46T20 46G05 PDF BibTeX XML Cite \textit{J. Appell} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1--8, 73--90 (2000; Zbl 0956.47035) Full Text: DOI
Reich, Simeon; Shoikhet, David Generation theory for semigroups of holomorphic mappings in Banach spaces. (English) Zbl 0945.46026 Abstr. Appl. Anal. 1, No. 1, 1-44 (1996). Reviewer: Vassil Angelov (Sofia) MSC: 46G20 47H20 47H10 34G20 PDF BibTeX XML Cite \textit{S. Reich} and \textit{D. Shoikhet}, Abstr. Appl. Anal. 1, No. 1, 1--44 (1996; Zbl 0945.46026) Full Text: DOI EuDML Link
Eschmeier, Jörg Tensor products and elementary operators. (English) Zbl 0639.47003 J. Reine Angew. Math. 390, 47-66 (1988). Reviewer: J.Eschmeier MSC: 47A10 47B47 46M05 47A53 47L10 PDF BibTeX XML Cite \textit{J. Eschmeier}, J. Reine Angew. Math. 390, 47--66 (1988; Zbl 0639.47003) Full Text: DOI Crelle EuDML
Hile, G. N.; Pfaffenberger, W. E. The relative spectrum of elements in a real Banach algebra. (English) Zbl 0421.46042 Math. Ann. 250, 113-133 (1980). MSC: 46H05 46H30 47A10 PDF BibTeX XML Cite \textit{G. N. Hile} and \textit{W. E. Pfaffenberger}, Math. Ann. 250, 113--133 (1980; Zbl 0421.46042) Full Text: DOI EuDML
Vasilescu, F.-H. A Martinelli type formula for the analytic functional calculus. (English) Zbl 0402.47011 Rev. Roum. Math. Pures Appl. 23, 1587-1605 (1978). MSC: 47A60 32A25 PDF BibTeX XML Cite \textit{F. H. Vasilescu}, Rev. Roum. Math. Pures Appl. 23, 1587--1605 (1978; Zbl 0402.47011)