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A Topological Approach to Unitary Spectr...

Azamov, Nurulla...

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A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues by Azamov, Nurulla ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-01-2015
Summary	It is a well-known result of T.\,Kato that given a continuous path of square matrices of a fixed dimension, the eigenvalues of the path can be chosen continuously. In this paper, we give an infinite-dimensional analogue of this result, which naturally arises in the context of the so-called unitary spectral flow. This provides a new approach to spectral flow, which seems to be missing from the literature. It is the purpose of the present paper to fill in this gap.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1502.02319

Citation

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AMA 11th EditionReferences

Azamov, Nurulla. A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues. N.A. January 01, 2015. Accessed October 01, 2025. https://online.provdatabase.com/cite/18338

APA 7th EditionReferences

Azamov, Nurulla. (2015). A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues. N.A. https://online.provdatabase.com/cite/18338

Chicago 17th EditionReferences

Azamov, Nurulla. A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues. N.A. 2015. https://online.provdatabase.com/cite/18338

HarvardReferences

Azamov, Nurulla. (2015). A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18338. (Accessed 01 October 2025).

Harvard AustraliaReferences

Azamov, Nurulla, 2015, A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues, N.A, viewed 01 October 2025, <https://online.provdatabase.com/cite/18338>

MLA 9th EditionWorks Cited

Azamov, Nurulla. A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18338.

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