A. A. Dosiev, “Cohomology of Sheaves of Fréchet Algebras and Spectral Theory”, Funktsional. Anal. i Prilozhen., 39:3 (2005), 76–80; Funct. Anal. Appl., 39:3 (2005), 225

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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 3, Pages 76–80
DOI: https://doi.org/10.4213/faa76 (Mi faa76)

This article is cited in 10 scientific papers (total in 10 papers)

Brief communications

Cohomology of Sheaves of Fréchet Algebras and Spectral Theory

A. A. Dosiev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Full-text PDF (184 kB) Citations (10)

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DOI: https://doi.org/10.4213/faa76

Abstract: We propose a holomorphic functional calculus for a noncommutative operator family generating a supernilpotent Lie subalgebra. This calculus extends Taylor's holomorphic functional calculus.

Keywords: functional calculus, Putinar spectrum, sheaf of Fréchet algebras, sheaf cohomology.

Received: 10.12.2003

English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 3, Pages 225–228
DOI: https://doi.org/10.1007/s10688-005-0041-5

Bibliographic databases:

Document Type: Article

UDC: 517.51

Language: Russian

Citation: A. A. Dosiev, “Cohomology of Sheaves of Fréchet Algebras and Spectral Theory”, Funktsional. Anal. i Prilozhen., 39:3 (2005), 76–80; Funct. Anal. Appl., 39:3 (2005), 225–228

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa76

https://doi.org/10.4213/faa76

https://www.mathnet.ru/eng/faa/v39/i3/p76

This publication is cited in the following 10 articles:

Dosi A., “Noncommutative Localizations of Lie-Complete Rings”, Commun. Algebr., 44:11 (2016), 4892–4944
A. A. Dosi, “The Taylor spectrum and transversality for a Heisenberg algebra of operators”, Sb. Math., 201:3 (2010), 355–375
Dosi A., “Formally-radical functions in elements of a nilpotent Lie algebra and noncommutative localizations”, Algebra Colloq., 17, Sp. Iss. 1 (2010), 749–788
Dosi A., “Taylor functional calculus for supernilpotent Lie algebra of operators”, J. Operator Theory, 63:1 (2010), 191–216
A. A. Dosi, “Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem”, Izv. Math., 73:6 (2009), 1149–1171
Dosiev A., “Local left invertibility for operator tuples and noncommutative localizations”, J. K-Theory, 4:1 (2009), 163–191
Dosi A., “Fréchet sheaves and Taylor spectrum for supernilpotent Lie algebras of operators”, Mediterr. J. Math., 6:2 (2009), 181–201
Dosiev A., “Regularities in noncommutative Banach algebras”, Integral Equations Operator Theory, 61:3 (2008), 341–364
Dosiev A., “Quasispectra of solvable Lie algebra homomorphisms into Banach algebras”, Studia Math., 174:1 (2006), 13–27
Dosiev A., “Cartan-Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems”, J. Funct. Anal., 230:2 (2006), 446–493

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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Abstract page:	515
Full-text PDF :	246
References:	88
First page:	2

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