Cohomology of nilpotent subalgebras of affine lie algebras

RÄzvan Gelca

doi:10.1090/S0002-9939-1994-1201803-3

Cohomology of nilpotent subalgebras of affine lie algebras

RÄzvan Gelca

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let T be an operator on a Hubert space. We show that the pair (T, T) can be perturbed to an invertible pair if and only if T is Fredholm of index zero. We also exhibit a large class of Fredholm n-tuples acting on a Banach space which cannot be perturbed by finite rank operators to invertible ones.

Original language	English
Pages (from-to)	195-198
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	122
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1994-1201803-3
State	Published - Sep 1994

Keywords

Compact perturbation
Fredholm n-tuple
Index zero

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10.1090/S0002-9939-1994-1201803-3

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title = "Cohomology of nilpotent subalgebras of affine lie algebras",

abstract = "Let T be an operator on a Hubert space. We show that the pair (T, T) can be perturbed to an invertible pair if and only if T is Fredholm of index zero. We also exhibit a large class of Fredholm n-tuples acting on a Banach space which cannot be perturbed by finite rank operators to invertible ones.",

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AB - Let T be an operator on a Hubert space. We show that the pair (T, T) can be perturbed to an invertible pair if and only if T is Fredholm of index zero. We also exhibit a large class of Fredholm n-tuples acting on a Banach space which cannot be perturbed by finite rank operators to invertible ones.

KW - Compact perturbation

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KW - Index zero

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JO - Proceedings of the American Mathematical Society

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Cohomology of nilpotent subalgebras of affine lie algebras

Abstract

Keywords

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