Faure, Frédéric Manifestation of the topological index formula in quantum waves and geophysical waves. (Manifestation de la formule de l’indice topologique dans les ondes quantiques et les ondes géophysiques.) (English. French summary) Zbl 1523.35261 Ann. Henri Lebesgue 6, 449-492 (2023). Reviewer: Panagiotis Koumantos (Athína) MSC: 35Q86 35Q35 86A05 86A10 76B15 76U60 76Y05 81V55 55R50 47A53 19K56 81Q20 81Q05 PDFBibTeX XMLCite \textit{F. Faure}, Ann. Henri Lebesgue 6, 449--492 (2023; Zbl 1523.35261) Full Text: DOI arXiv
Ammann, Bernd; Glöckle, Jonathan Dominant energy condition and spinors on Lorentzian manifolds. (English) Zbl 1528.53063 Gromov, Mikhail L. (ed.) et al., Perspectives in scalar curvature. Vol. 2. Singapore: World Scientific. 519-592 (2023). Reviewer: Carlos Shabazi (Hamburg) MSC: 53C50 53C20 53C27 47A53 55Q05 58J50 58J20 83C60 PDFBibTeX XMLCite \textit{B. Ammann} and \textit{J. Glöckle}, in: Perspectives in scalar curvature. Vol. 2. Singapore: World Scientific. 519--592 (2023; Zbl 1528.53063) Full Text: DOI arXiv
Pejsachowicz, Jacobo Bifurcation of solutions of \(U(1)\)-equivariant semilinear boundary value problems. (English) Zbl 1514.58011 Topol. Methods Nonlinear Anal. 61, No. 1, 491-500 (2023). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58E07 58J55 58J20 55N15 47A53 58J32 PDFBibTeX XMLCite \textit{J. Pejsachowicz}, Topol. Methods Nonlinear Anal. 61, No. 1, 491--500 (2023; Zbl 1514.58011) Full Text: DOI
Rot, Thomas O.; Toussaint, Lauran Non-linear proper Fredholm maps and the stable homotopy groups of spheres. arXiv:2307.08020 Preprint, arXiv:2307.08020 [math.AT] (2023). MSC: 55P57 55Q45 19L41 55N22 58B05 58B15 47A53 BibTeX Cite \textit{T. O. Rot} and \textit{L. Toussaint}, ``Non-linear proper Fredholm maps and the stable homotopy groups of spheres'', Preprint, arXiv:2307.08020 [math.AT] (2023) Full Text: arXiv OA License
López-Gómez, Julián; Sampedro, Juan Carlos Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier. (English) Zbl 1521.47097 J. Fixed Point Theory Appl. 24, No. 1, Paper No. 8, 28 p. (2022). Reviewer: Janko Bračič (Ljubljana) MSC: 47H11 47A53 55M25 PDFBibTeX XMLCite \textit{J. López-Gómez} and \textit{J. C. Sampedro}, J. Fixed Point Theory Appl. 24, No. 1, Paper No. 8, 28 p. (2022; Zbl 1521.47097) Full Text: DOI arXiv
Ivanov, Nikolai V. Topological categories related to Fredholm operators: I. Classifying spaces. arXiv:2111.14313 Preprint, arXiv:2111.14313 [math.KT] (2021). MSC: 55N15 19D06 19K56 46L80 47A53 47F10 BibTeX Cite \textit{N. V. Ivanov}, ``Topological categories related to Fredholm operators: I. Classifying spaces'', Preprint, arXiv:2111.14313 [math.KT] (2021) Full Text: arXiv OA License
Tradler, Thomas; Wilson, Scott O.; Zeinalian, Mahmoud One more proof of the index formula for block Toeplitz operators. (English) Zbl 1389.47086 J. Oper. Theory 76, No. 1, 171-174 (2016). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47B35 55M25 47A53 PDFBibTeX XMLCite \textit{T. Tradler} et al., J. Oper. Theory 76, No. 1, 171--174 (2016; Zbl 1389.47086) Full Text: DOI Link
Pejsachowicz, J. The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems. (English) Zbl 1334.58007 J. Fixed Point Theory Appl. 17, No. 1, 43-64 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58E07 58J55 58J20 55N15 47A53 58J32 35B32 35J40 PDFBibTeX XMLCite \textit{J. Pejsachowicz}, J. Fixed Point Theory Appl. 17, No. 1, 43--64 (2015; Zbl 1334.58007) Full Text: DOI
Ibrogimov, Orif O.; Langer, Heinz; Langer, Matthias; Tretter, Christiane Essential spectrum of systems of singular differential equations. (English) Zbl 1324.47029 Acta Sci. Math. 79, No. 3-4, 423-465 (2013). Reviewer: Catalin Badea (Lille) MSC: 47A53 55R10 47A10 34L05 47A55 76E99 PDFBibTeX XMLCite \textit{O. O. Ibrogimov} et al., Acta Sci. Math. 79, No. 3--4, 423--465 (2013; Zbl 1324.47029) Full Text: arXiv
Gomi, Kiyonori Clifford modules, finite-dimensional approximation and twisted \(K\)-theory. (English) Zbl 1311.19004 J. Math. Sci., Tokyo 19, No. 4, 587-612 (2012). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L99 55R65 47A53 PDFBibTeX XMLCite \textit{K. Gomi}, J. Math. Sci., Tokyo 19, No. 4, 587--612 (2012; Zbl 1311.19004)
Tarkhanov, Nikolai; Wallenta, Daniel The Lefschetz number of sequences of trace class curvature. (English) Zbl 1301.47017 Math. Sci., Springer 6, Paper No. 44, 8 p. (2012). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47A53 55U05 19K56 58J10 PDFBibTeX XMLCite \textit{N. Tarkhanov} and \textit{D. Wallenta}, Math. Sci., Springer 6, Paper No. 44, 8 p. (2012; Zbl 1301.47017) Full Text: DOI
Väth, Martin Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions. (English) Zbl 1248.47001 De Gruyter Series in Nonlinear Analysis and Applications 16. Berlin: de Gruyter (ISBN 978-3-11-027722-7/hbk; 978-3-11-027733-3/ebook). ix, 490 p. (2012). Reviewer: Grzegorz Gabor (Toruń) MSC: 47-01 47H11 47H10 54C60 54C55 46T05 47A53 55M20 55M25 PDFBibTeX XMLCite \textit{M. Väth}, Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions. Berlin: de Gruyter (2012; Zbl 1248.47001) Full Text: DOI Backlinks: MO
Pejsachowicz, J. The family index theorem and bifurcation of solutions of nonlinear elliptic BVP. (English) Zbl 1241.35099 J. Differ. Equations 252, No. 9, 4942-4961 (2012). MSC: 35J66 35J60 35B32 47A53 55N15 PDFBibTeX XMLCite \textit{J. Pejsachowicz}, J. Differ. Equations 252, No. 9, 4942--4961 (2012; Zbl 1241.35099) Full Text: DOI arXiv
Pejsachowicz, Jacobo Bifurcation of Fredholm maps. II: The index bundle and bifurcation. (English) Zbl 1261.58012 Topol. Methods Nonlinear Anal. 38, No. 2, 291-305 (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58J55 58E07 58J20 55N15 47A53 58J32 PDFBibTeX XMLCite \textit{J. Pejsachowicz}, Topol. Methods Nonlinear Anal. 38, No. 2, 291--305 (2011; Zbl 1261.58012) Full Text: arXiv
Cibotaru, Daniel The odd Chern character and index localization formulae. (English) Zbl 1258.19002 Commun. Anal. Geom. 19, No. 2, 209-276 (2011). Reviewer: Charlotte Wahl (Hannover) MSC: 19L10 47A53 55R40 PDFBibTeX XMLCite \textit{D. Cibotaru}, Commun. Anal. Geom. 19, No. 2, 209--276 (2011; Zbl 1258.19002) Full Text: DOI arXiv
Abbasov, A. Fredholm quasilinear manifolds and degree of a Fredholm quasilinear mapping between them. (English. Russian original) Zbl 1263.47070 Ukr. Math. J. 63, No. 5, 673-689 (2011); original from Ukr. Mat. Zh. 63, No. 5, 579-595 (2011). Reviewer: Christian Fenske (Gießen) MSC: 47H11 47A53 55M25 58B15 PDFBibTeX XMLCite \textit{A. Abbasov}, Ukr. Math. J. 63, No. 5, 673--689 (2011; Zbl 1263.47070) Full Text: DOI Link
Pejsachowicz, Jacobo Bifurcation of Fredholm maps. I: The index bundle and bifurcation. (English) Zbl 1235.58011 Topol. Methods Nonlinear Anal. 38, No. 1, 115-168 (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58E07 58J55 58J20 55N15 47A53 58J32 PDFBibTeX XMLCite \textit{J. Pejsachowicz}, Topol. Methods Nonlinear Anal. 38, No. 1, 115--168 (2011; Zbl 1235.58011) Full Text: arXiv
Benevieri, Pierluigi; Calamai, Alessandro A Borsuk-type theorem for some classes of perturbed Fredholm maps. (English) Zbl 1215.47050 Topol. Methods Nonlinear Anal. 35, No. 2, 379-394 (2010). Reviewer: Peter Zabreiko (Minsk) MSC: 47H11 47A53 55M20 47H08 PDFBibTeX XMLCite \textit{P. Benevieri} and \textit{A. Calamai}, Topol. Methods Nonlinear Anal. 35, No. 2, 379--394 (2010; Zbl 1215.47050)
Chen, Yuqing; Kim, Jong Kyu; O’Regan, Donal On semilinear operator equations with Fredholm mapping of non-negative index type. (English) Zbl 1226.47062 Nonlinear Funct. Anal. Appl. 14, No. 3, 391-401 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 47H11 47H05 35L05 55M25 47J05 47A53 PDFBibTeX XMLCite \textit{Y. Chen} et al., Nonlinear Funct. Anal. Appl. 14, No. 3, 391--401 (2009; Zbl 1226.47062)
Yakubovich, Dmitry Vector semi-Fredholm Toeplitz operators and mean winding numbers. (English) Zbl 1172.47023 Nagoya Math. J. 195, 57-75 (2009). MSC: 47B35 47A53 47G30 46E15 55M25 93B05 PDFBibTeX XMLCite \textit{D. Yakubovich}, Nagoya Math. J. 195, 57--75 (2009; Zbl 1172.47023) Full Text: DOI arXiv Euclid
Abbondandolo, Alberto; Majer, Pietro Infinite dimensional Grassmannians. (English) Zbl 1174.47007 J. Oper. Theory 61, No. 1, 19-62 (2009). Reviewer: Cătălin Badea (Villeneuve d’Ascq Cedex) MSC: 47A53 55R10 PDFBibTeX XMLCite \textit{A. Abbondandolo} and \textit{P. Majer}, J. Oper. Theory 61, No. 1, 19--62 (2009; Zbl 1174.47007) Full Text: arXiv
Irmatov, Anwar A.; Mishchenko, Alexandr S. On compact and Fredholm operators over C\(^*\)-algebras and a new topology in the space of compact operators. (English) Zbl 1163.47032 J. \(K\)-Theory 2, No. 2, 329-351 (2008). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47C15 47A53 46L80 55N15 PDFBibTeX XMLCite \textit{A. A. Irmatov} and \textit{A. S. Mishchenko}, J. \(K\)-Theory 2, No. 2, 329--351 (2008; Zbl 1163.47032) Full Text: DOI arXiv
Gabor, Dorota Remarks to the orientation and homotopy in coincidence problems involving Fredholm operators of nonnegative index. (English) Zbl 1159.55002 Topol. Methods Nonlinear Anal. 31, No. 1, 161-190 (2008). Reviewer: Genaro López Acedo (Sevilla) MSC: 55M20 47A53 54C60 PDFBibTeX XMLCite \textit{D. Gabor}, Topol. Methods Nonlinear Anal. 31, No. 1, 161--190 (2008; Zbl 1159.55002)
Bayramov, Sadi On stability of index of Fredholm complexes on the \(C^*\)-algebra. (English) Zbl 1225.47130 Appl. Anal. 87, No. 4, 409-419 (2008). Reviewer: Martín Argerami (Regina) MSC: 47L80 46L80 47A53 47C15 55N15 PDFBibTeX XMLCite \textit{S. Bayramov}, Appl. Anal. 87, No. 4, 409--419 (2008; Zbl 1225.47130) Full Text: DOI
Bojarski, Bogdan; Weber, Andrzej Correspondences and index. (English) Zbl 1123.58013 Bojarski, Bogdan (ed.) et al., \(C^*\)-algebras and elliptic theory. Basically formed by contributions from the international conference, Bȩdlewo, Poland, February 2004. In cooperation with Dan Burghelea, Richard Melrose and Victor Nistor. Basel: Birkhäuser (ISBN 3-7643-7686-4/hbk). Trends in Mathematics, 1-21 (2006). Reviewer: Dian K. Palagachev (Bari) MSC: 58J32 47A53 35J55 35Q15 55N15 58J20 46L05 46L80 PDFBibTeX XMLCite \textit{B. Bojarski} and \textit{A. Weber}, in: \(C^*\)-algebras and elliptic theory. Basically formed by contributions from the international conference, Bȩdlewo, Poland, February 2004. In cooperation with Dan Burghelea, Richard Melrose and Victor Nistor. Basel: Birkhäuser. 1--21 (2006; Zbl 1123.58013) Full Text: arXiv
Gabor, Dorota; Kryszewski, Wojciech Systems of inclusions involving Fredholm operators of nonnegative index and nonconvex-valued maps. (English) Zbl 1100.47052 Set-Valued Anal. 13, No. 4, 337-379 (2005). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47J05 47H04 47H10 47H11 47J25 47A53 55M20 55Q55 34A60 34C25 PDFBibTeX XMLCite \textit{D. Gabor} and \textit{W. Kryszewski}, Set-Valued Anal. 13, No. 4, 337--379 (2005; Zbl 1100.47052) Full Text: DOI
Gabor, Dorota The coincidence index for fundamentally contractible multivalued maps with nonconvex values. (English) Zbl 0969.47041 Ann. Pol. Math. 75, No. 2, 143-166 (2000). Reviewer: Christian Fenske (Gießen) MSC: 47H11 55M20 34G20 34B15 47A53 47H09 47J05 PDFBibTeX XMLCite \textit{D. Gabor}, Ann. Pol. Math. 75, No. 2, 143--166 (2000; Zbl 0969.47041) Full Text: DOI EuDML
Savin, A. Yu.; Sternin, B. Yu. Elliptic operators in even subspaces. (English. Russian original) Zbl 0963.58008 Sb. Math. 190, No. 8, 1195-1228 (1999); translation from Mat. Sb. 190, No. 8, 125-160 (1999). Reviewer: Jesús A.Álvarez López (Santiago de Compostela) MSC: 58J05 58J28 35S10 47A53 55R50 PDFBibTeX XMLCite \textit{A. Yu. Savin} and \textit{B. Yu. Sternin}, Sb. Math. 190, No. 8, 1195--1228 (1999; Zbl 0963.58008); translation from Mat. Sb. 190, No. 8, 125--160 (1999) Full Text: DOI arXiv
Nicolaescu, Liviu I. Generalized symplectic geometries and the index of families of elliptic problems. (English) Zbl 0903.35015 Mem. Am. Math. Soc. 609, 80 p. (1997). Reviewer: Z.G.Sheftel’ (Clausthal-Zellerfeld) MSC: 35J15 47A53 58-02 58J20 58J05 15A66 55N15 PDFBibTeX XMLCite \textit{L. I. Nicolaescu}, Generalized symplectic geometries and the index of families of elliptic problems. Providence, RI: American Mathematical Society (AMS) (1997; Zbl 0903.35015) Full Text: DOI
Deundyak, V. M.; Simonenko, I. B.; Stukopin, V. A. Homotopy classification of families of Noetherian singular operators with piecewise continuous coefficients on a composite contour. (English. Russian original) Zbl 0814.45006 Russ. Acad. Sci., Dokl., Math. 47, No. 2, 305-309 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 5, 540-542 (1993). Reviewer: N.K.Karapetyants (Rostov-na-Donu) MSC: 45P05 45E05 47G10 47A53 47L10 46H35 55P15 19K99 PDFBibTeX XMLCite \textit{V. M. Deundyak} et al., Russ. Acad. Sci., Dokl., Math. 47, No. 2, 1 (1993; Zbl 0814.45006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 5, 540--542 (1993)
Khimshiashvili, G. N. On homotopic structure of invertible singular operators. (Russian) Zbl 0831.47034 Chogoshvili, G. S. (ed.), Generalized homologies and homotopies. Work collection on homology theory, 5. Tbilisi: Metsniereba. Tr. Tbilis. Mat. Inst. A. M. Razmadze. 97, 78-91 (1992). MSC: 47L10 47D03 46L05 47A53 55P15 46A25 46M20 46L80 PDFBibTeX XMLCite \textit{G. N. Khimshiashvili}, in: Obobshchennye gomologii i gomotopii. Sbornik rabot po teorii gomologij, 5. Tbilisi: Metsniereba. 78--91 (1992; Zbl 0831.47034)
Levy, R. N. Algebraic and topological K-functors of commuting n-tuple of operators. (English) Zbl 0704.46047 J. Oper. Theory 21, No. 2, 219-253 (1989). Reviewer: G.F.Nassopoulos MSC: 46M20 47A53 18F25 19K56 19L99 55S25 PDFBibTeX XMLCite \textit{R. N. Levy}, J. Oper. Theory 21, No. 2, 219--253 (1989; Zbl 0704.46047)
Coquereaux, R. Noncommutative geometry and theoretical physics. (English) Zbl 0695.16020 J. Geom. Phys. 6, No. 3, 425-490 (1989). Reviewer: E.Kryachko MSC: 16E40 18F25 47A53 81T05 46L80 53C80 58A12 55N35 57R30 PDFBibTeX XMLCite \textit{R. Coquereaux}, J. Geom. Phys. 6, No. 3, 425--490 (1989; Zbl 0695.16020) Full Text: DOI
Deundyak, V. M.; Simonenko, I. B.; Chin’ Ngok Min’ Symbols and homotopic classification of families of one-dimensional singular operators with piecewise-continuous coefficients. (English. Russian original) Zbl 0685.47031 Sov. Math. 32, No. 12, 23-39 (1988); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 12(319), 17-27 (1988). Reviewer: V.S.Rabinovich MSC: 47B38 47A53 45E05 45F15 55R50 46M20 PDFBibTeX XMLCite \textit{V. M. Deundyak} et al., Sov. Math. 32, No. 12, 23--39 (1988; Zbl 0685.47031); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 12(319), 17--27 (1988)
Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo The fundamental group of the space of linear Fredholm operators and the global analysis of semilinear equations. (English) Zbl 0679.47011 Fixed point theory and its applications, Proc. Conf., Berkeley/Calif. 1986, Contemp. Math. 72, 47-87 (1988). Reviewer: A.Pryde MSC: 47A53 47J05 58E07 47A55 55M25 PDFBibTeX XML
Freed, Daniel S. An index theorem for families of Fredholm operators parametrized by a group. (English) Zbl 0673.58004 Topology 27, No. 3, 279-300 (1988). Reviewer: K.H.Mayer MSC: 58A12 55R35 47A53 58B15 58B25 47L30 PDFBibTeX XMLCite \textit{D. S. Freed}, Topology 27, No. 3, 279--300 (1988; Zbl 0673.58004) Full Text: DOI
Deundyak, V. M.; Simonenko, I. B.; Chinh Ngoc Minh Homotopy classification of families of one-dimensional singular operators with piecewise continuous coefficients. (English. Russian original) Zbl 0622.47008 Sov. Math., Dokl. 34, 100-103 (1987); translation from Dokl. Akad. Nauk SSSR 289, 521-524 (1986). Reviewer: M.Putinar MSC: 47A53 47Gxx 45E05 55P15 47B38 PDFBibTeX XMLCite \textit{V. M. Deundyak} et al., Sov. Math., Dokl. 34, 100--103 (1987; Zbl 0622.47008); translation from Dokl. Akad. Nauk SSSR 289, 521--524 (1986)
Booss, B.; Bleecker, D. D. Topology and analysis. The Atiyah-Singer index formula and gauge- theoretic physics. Transl. from the German by D. D. Bleecker and A. Mader. (English) Zbl 0551.58031 Universitext. New York etc.: Springer-Verlag. XVI, 451 p. DM 118.00 (1985). MSC: 58J20 47A53 55R25 58-01 58-02 47B35 55R45 55R50 58J40 PDFBibTeX XML
Antonovskij, E. Ya. Existence and properties of the degree of almost strongly Fredholm mappings. (English) Zbl 0554.47030 Transl., Ser. 2, Am. Math. Soc. 124, 181-183 (1984). MSC: 47J05 58C20 58J20 55M25 47A53 58B15 PDFBibTeX XMLCite \textit{E. Ya. Antonovskij}, Transl., Ser. 2, Am. Math. Soc. 124, 181--183 (1984; Zbl 0554.47030) Full Text: DOI
Carey, A. L.; O’Brien, D. M. Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index. (English) Zbl 0532.47011 Topology 22, 437-448 (1983). Reviewer: Y.Kato MSC: 47A53 46M20 55Q05 58J22 15A66 PDFBibTeX XMLCite \textit{A. L. Carey} and \textit{D. M. O'Brien}, Topology 22, 437--448 (1983; Zbl 0532.47011) Full Text: DOI
Geba, Kazimierz; Granas, Andrzej A proof of the Borsuk antipodal theorem for Fredholm maps. (English) Zbl 0529.55003 J. Math. Anal. Appl. 96, 196-202 (1983). MSC: 55M25 47A53 47H10 55M20 PDFBibTeX XMLCite \textit{K. Geba} and \textit{A. Granas}, J. Math. Anal. Appl. 96, 196--202 (1983; Zbl 0529.55003) Full Text: DOI
Albrecht, Ernst; Vasilescu, Florian-Horia Semi-Fredholm complexes. (English) Zbl 0527.47008 Dilation theory, Toeplitz operators, and other topics, 7th int. Conf. Oper. theory, Timisoara & Herculane/Rom. 1982, Oper. Theory, Adv. Appl. 11, 15-39 (1983). MSC: 47A53 47A55 47D99 55U05 PDFBibTeX XML
Krejn, M. N. Semi-differentiable Fredholm maps. (Russian) Zbl 0526.47036 Uravneniya na Mnogoobraziyakh, Nov. Global’nom Anal. 1982, 115-118 (1982). MSC: 47J05 58B15 46G05 47H09 55M25 47A53 58C30 PDFBibTeX XML
Gewalter, Lutz Der Periodizitaetssatz für AW*-Algebren. (Dissertation). (German) Zbl 0524.46040 Fachbereich Mathematik der Philipps-Universität Marburg/Lahn. 133 S. (1982). MSC: 46L10 46M20 55R50 55R25 55R45 47A53 18F30 PDFBibTeX XML
Gupta, Chaitan P. Perturbations of second order linear elliptic problems by unbounded nonlinearities. (English) Zbl 0509.35035 Nonlinear Anal., Theory Methods Appl. 6, 919-933 (1982). MSC: 35J65 35J25 47A53 55M20 PDFBibTeX XMLCite \textit{C. P. Gupta}, Nonlinear Anal., Theory Methods Appl. 6, 919--933 (1982; Zbl 0509.35035) Full Text: DOI
Chin Ngok Minh; Simonenko, I. B. On the index and homotopy classification of families of singular operators with a Carleman shift. (English. Russian original) Zbl 0504.58006 Sov. Math., Dokl. 25, 503-506 (1982); translation from Dokl. Akad. Nauk SSSR 263, 1070-1073 (1982). MSC: 58B15 47A53 55S25 PDFBibTeX XMLCite \textit{Chin Ngok Minh} and \textit{I. B. Simonenko}, Sov. Math., Dokl. 25, 503--506 (1982; Zbl 0504.58006); translation from Dokl. Akad. Nauk SSSR 263, 1070--1073 (1982)
Ize, Jorge Introduction to bifurcation theory. (English) Zbl 0493.58009 Differential equations, Proc., Sao Paulo 1981, Lect. Notes Math. 957, 145-202 (1982). MSC: 58E07 47J05 47A53 55M25 55Q55 PDFBibTeX XML
Putinar, Mihai Some invariants for semi-Fredholm systems of essentially commuting operators. (English) Zbl 0491.47008 J. Oper. Theory 8, 65-90 (1982). MSC: 47A53 55N15 PDFBibTeX XMLCite \textit{M. Putinar}, J. Oper. Theory 8, 65--90 (1982; Zbl 0491.47008)
Deundyak, V. M. Computation of the homotopy groups of the set of invertible elements of certain C*-algebras of operators, and applications. (English) Zbl 0458.46050 Russ. Math. Surv. 35, No. 3, 217-222 (1980). MSC: 46M20 46L05 47A53 47D03 47Gxx 55N15 55Q52 PDFBibTeX XMLCite \textit{V. M. Deundyak}, Russ. Math. Surv. 35, No. 3, 217--222 (1980; Zbl 0458.46050) Full Text: DOI
Deundyak, V. M. Berechnung der Homotopiegruppen der Menge der inversen Elemente gewisser C*-Algebren von Operatoren und Anwendungen. (Russian) Zbl 0448.46050 Usp. Mat. Nauk 35, No. 3(213), 174-178 (1980). MSC: 46M20 47A53 46L05 47D03 55N15 55Q52 47Gxx PDFBibTeX XMLCite \textit{V. M. Deundyak}, Usp. Mat. Nauk 35, No. 3(213), 174--178 (1980; Zbl 0448.46050)
Antonovskij, E. Ya. Die Untersuchung nichtglatter Abbildungen von Hilberträumen vermittels Methoden der glatten Analysis. (Russian) Zbl 0447.55003 Usp. Mat. Nauk 35, No. 3(213), 134-137 (1980). MSC: 55M25 58C20 58C25 58C30 46G05 47A53 47H10 54H25 PDFBibTeX XMLCite \textit{E. Ya. Antonovskij}, Usp. Mat. Nauk 35, No. 3(213), 134--137 (1980; Zbl 0447.55003)
Borisovich, Yu. G.; Gliklikh, Yu. E. Fixed points of mappings of Banach manifolds and some applications. (English) Zbl 0427.58009 Nonlinear Anal., Theory Methods Appl. 4, 165-192 (1980). MSC: 58C30 55M20 34K30 47A53 PDFBibTeX XMLCite \textit{Yu. G. Borisovich} and \textit{Yu. E. Gliklikh}, Nonlinear Anal., Theory Methods Appl. 4, 165--192 (1980; Zbl 0427.58009) Full Text: DOI
Antonovskij, E. Ya. Konstruktion des Abbildungsgrades für eigentliche fast starke Fredholmabbildungen. (Russian) Zbl 0479.55005 Dokl. Akad. Nauk UzSSR 1979, No. 11, 5-7 (1979). MSC: 55M25 47A53 47H10 PDFBibTeX XMLCite \textit{E. Ya. Antonovskij}, Dokl. Akad. Nauk UzSSR 1979, No. 11, 5--7 (1979; Zbl 0479.55005)
Vasilevskij, N. L.; Trujillo, R. On \(\Phi_R\)-operators in matrix algebras of operators. (English. Russian original) Zbl 0443.47043 Sov. Math., Dokl. 20, 406-409 (1979); translation from Dokl. Akad. Nauk SSSR 245, 1289-1292 (1979). MSC: 47L10 47A53 47C05 55P15 PDFBibTeX XMLCite \textit{N. L. Vasilevskij} and \textit{R. Trujillo}, Sov. Math., Dokl. 20, 406--409 (1979; Zbl 0443.47043); translation from Dokl. Akad. Nauk SSSR 245, 1289--1292 (1979)
Chernomaz, V. N.; Shevchenko, V. I. On the problem of linear conjunction for a holomorphic vector in four- dimensional space. (English. Russian original) Zbl 0412.35035 Sov. Math., Dokl. 19, 1163-1166 (1978); translation from Dokl. Akad. Nauk SSSR 242, 549-551 (1978). MSC: 35J25 35J45 30A99 47A53 55P15 PDFBibTeX XMLCite \textit{V. N. Chernomaz} and \textit{V. I. Shevchenko}, Sov. Math., Dokl. 19, 1163--1166 (1978; Zbl 0412.35035); translation from Dokl. Akad. Nauk SSSR 242, 549--551 (1978)
Vasilevskii, N. L. Symbols of operator algebras. (English. Russian original) Zbl 0375.46057 Sov. Math., Dokl. 18(1977), 872-876 (1978); translation from Dokl. Akad. Nauk SSSR 235, 15-18 (1977). MSC: 47L10 46M15 47A53 46J25 55P15 PDFBibTeX XMLCite \textit{N. L. Vasilevskii}, Sov. Math., Dokl. 18, 872--876 (1977; Zbl 0375.46057); translation from Dokl. Akad. Nauk SSSR 235, 15--18 (1977)
Booß, Bernhelm Topologie und Analysis. Einführung in die Atiyah-Singer-Indexformel. (German) Zbl 0364.58017 Hochschultext. Berlin-Heidelberg-New York: Springer-Verlag. XIV, 352 S. DM 38.00 (1977). MSC: 58J20 47A53 47B35 55R25 55R45 55R50 58-01 58-02 58J40 PDFBibTeX XML
Istratescu, Vasile I.; Istratescu, Ana I. Some results on local power \(\alpha\)-set contractions. I. (English) Zbl 0359.47018 Proc. Conf. Differ. Equat. Appl., Iasi 1973, 9-12 (1977). MSC: 47B99 55M20 47A15 47A53 PDFBibTeX XML
Borisovich, Yu. G.; Zvyagin, V. G.; Sapronov, Yu. I. Nichtlineare Fredholmsche Abbildungen und die Leray-Schaudersche Theorie. (Russian) Zbl 0358.58004 Usp. Mat. Nauk 32, No. 4(196), 3-54 (1977). MSC: 58B15 47A53 55M25 PDFBibTeX XMLCite \textit{Yu. G. Borisovich} et al., Usp. Mat. Nauk 32, No. 4(196), 3--54 (1977; Zbl 0358.58004)
Atiyah, Michael F. A survey of K-theory. (English) Zbl 0345.55005 \(K\)-Theory Oper. Algebr., Proc. Conf. Athens/Georgia 1975, Lect. Notes Math. 575, 1-9 (1977). MSC: 55N15 14C35 14F20 55R45 55R50 58J20 47A53 55-02 PDFBibTeX XML
Mishchenko, A. S. Hermitian K-theory. The theory of characteristic classes and methods of functional analysis. (English. Russian original) Zbl 0427.55001 Russ. Math. Surv. 31, No. 2, 71-138 (1976); translation from Usp. Mat. Nauk 31, No. 2(188), 69-134 (1976). MSC: 55-02 55N15 55R40 57R20 11E16 20C99 55R35 47D03 47A53 PDFBibTeX XMLCite \textit{A. S. Mishchenko}, Russ. Math. Surv. 31, No. 2, 71--138 (1976; Zbl 0427.55001); translation from Usp. Mat. Nauk 31, No. 2(188), 69--134 (1976) Full Text: DOI
Edwards, David A.; Hastings, Harold M. Generalized Steenrod homology theories. (English) Zbl 0352.55006 Bull. Am. Math. Soc. 82, 328-330 (1976). MSC: 55N20 46L05 47A53 55N15 55T25 55P05 55N35 PDFBibTeX XMLCite \textit{D. A. Edwards} and \textit{H. M. Hastings}, Bull. Am. Math. Soc. 82, 328--330 (1976; Zbl 0352.55006) Full Text: DOI
Gochberg, I. Z.; Leiterer, J. Über Algebren stetiger Operatorfunktionen. (German) Zbl 0343.47021 Stud. Math. 57, 1-26 (1976). MSC: 47A53 18F20 46J15 47L10 55N30 55R10 PDFBibTeX XMLCite \textit{I. Z. Gochberg} and \textit{J. Leiterer}, Stud. Math. 57, 1--26 (1976; Zbl 0343.47021) Full Text: DOI EuDML
Ize, Jorge Bifurcation theory for Fredholm operators. (English) Zbl 0338.47032 Mem. Am. Math. Soc. 174, 128 p. (1976). MSC: 47J05 55M25 34C99 35G20 55Q55 47A53 45G10 PDFBibTeX XMLCite \textit{J. Ize}, Bifurcation theory for Fredholm operators. Providence, RI: American Mathematical Society (AMS) (1976; Zbl 0338.47032) Full Text: DOI
Kasparov, G. G. Topological invariants of elliptic operators. I: K-homology. (English) Zbl 0337.58006 Math. USSR, Izv. 9(1975), 751-792 (1976). MSC: 58J20 18F25 46J15 47A53 55N15 55N35 55R50 PDFBibTeX XMLCite \textit{G. G. Kasparov}, Math. USSR, Izv. 9, 751--792 (1976; Zbl 0337.58006) Full Text: DOI
Solov’ev, Yu. P. Discrete subgroups, Bruhat-Tits buildings, and homotopy invariance of higher signatures. (Russian) Zbl 0335.57020 Usp. Mat. Nauk 31, No. 1(187), 261-262 (1976). MSC: 57R65 20F34 55R40 55R50 55R60 57R20 47A53 58J20 55P15 PDFBibTeX XMLCite \textit{Yu. P. Solov'ev}, Usp. Mat. Nauk 31, No. 1(187), 261--262 (1976; Zbl 0335.57020)
Bierstedt, Klaus Dieter; Gramsch, Bernhard; Meise, Reinhold Approximationseigenschaft, Lifting und Kohomologie bei lokalkonvexen Produktgarben. (English) Zbl 0335.46019 Manuscr. Math. 19, 319-364 (1976). MSC: 46E10 18F20 32C35 65H10 41A65 46A03 46A19 46E40 46F05 46N99 47A53 55N30 PDFBibTeX XMLCite \textit{K. D. Bierstedt} et al., Manuscr. Math. 19, 319--364 (1976; Zbl 0335.46019) Full Text: DOI EuDML
Kasparov, G. G. Topologische Invarianten elliptischer Operatoren. I: K-Homologien. (Russian) Zbl 0328.58016 Izv. Akad. Nauk SSSR, Ser. Mat. 39, 796-838 (1975). MSC: 58J20 55N15 55N35 18F25 46J15 47A53 PDFBibTeX XMLCite \textit{G. G. Kasparov}, Izv. Akad. Nauk SSSR, Ser. Mat. 39, 796--838 (1975; Zbl 0328.58016)
Kaminker, Jerome; Schochet, Claude Steenrod homology and operator algebras. (English) Zbl 0325.55009 Bull. Am. Math. Soc. 81, 431-434 (1975). MSC: 55N20 55T25 55N15 47A53 46L05 PDFBibTeX XMLCite \textit{J. Kaminker} and \textit{C. Schochet}, Bull. Am. Math. Soc. 81, 431--434 (1975; Zbl 0325.55009) Full Text: DOI
Hetzer, G. Some remarks on \(\Phi_+\)-operators and on the coincidence degree for a Fredholm equation with noncompact nonlinear perturbations. (English) Zbl 0316.47041 Ann. Soc. Sci. Bruxelles, Sér. I 89, 497-508 (1975). MSC: 47J05 47A53 47H10 55M25 PDFBibTeX XMLCite \textit{G. Hetzer}, Ann. Soc. Sci. Brux., Sér. I 89, 497--508 (1975; Zbl 0316.47041)
Brown, L. G.; Douglas, R. G.; Fillmore, P. A. Extensions of C\(^*\)-algebras, operators with compact self-commutators, and K-homology. (English) Zbl 0277.46052 Bull. Am. Math. Soc. 79, 973-978 (1973). MSC: 46L05 47B35 55N05 55N20 47B06 16S20 47A55 47A53 55N15 PDFBibTeX XMLCite \textit{L. G. Brown} et al., Bull. Am. Math. Soc. 79, 973--978 (1973; Zbl 0277.46052) Full Text: DOI
Breuer, Manfred Theory of Fredholm operators and vector bundles relative to a von Neumann algebra. (English) Zbl 0275.47015 Rocky Mt. J. Math. 3, 383-429 (1973). MSC: 47A53 47C15 55R50 55N15 46L10 55R25 PDFBibTeX XMLCite \textit{M. Breuer}, Rocky Mt. J. Math. 3, 383--429 (1973; Zbl 0275.47015) Full Text: DOI
Petryshyn, W. V.; Fitzpatrick, P. M. On 1-set and 1-ball contractions with application to perturbation problems for nonlinear bijective maps and linear Fredholm maps. (English) Zbl 0266.47057 Boll. Unione Mat. Ital., IV. Ser. 7, 102-124 (1973). MSC: 47J05 55M25 47A53 47A55 PDFBibTeX XMLCite \textit{W. V. Petryshyn} and \textit{P. M. Fitzpatrick}, Boll. Unione Mat. Ital., IV. Ser. 7, 102--124 (1973; Zbl 0266.47057)