A note on riesz bases of eigenvectors for a class of nonanalytic operator functions

M. Hasanov; B. Ünalmiş Uzun; N. Çolakoǧlu

doi:10.1216/rmjm/1181069463

A note on riesz bases of eigenvectors for a class of nonanalytic operator functions

M. Hasanov^*, B. Ünalmiş Uzun, N. Çolakoǧlu

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Technical University

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

2 Citations (Scopus)

Abstract

Riesz basis properties for a class of self-adjoint and continuous operator functions are studied. A new approach based on the spectral distribution function is presented.

Original language	English
Pages (from-to)	487-496
Number of pages	10
Journal	Rocky Mountain Journal of Mathematics
Volume	36
Issue number	2
DOIs	https://doi.org/10.1216/rmjm/1181069463
Publication status	Published - 2006

Keywords

Eigenvectors
Operator functions
Riesz basis
Spectral distriubution function

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title = "A note on riesz bases of eigenvectors for a class of nonanalytic operator functions",

abstract = "Riesz basis properties for a class of self-adjoint and continuous operator functions are studied. A new approach based on the spectral distribution function is presented.",

keywords = "Eigenvectors, Operator functions, Riesz basis, Spectral distriubution function",

author = "M. Hasanov and Uzun, {B. {\"U}nalmi{\c s}} and N. {\c C}olakoǧlu",

year = "2006",

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language = "English",

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AU - Uzun, B. Ünalmiş

AU - Çolakoǧlu, N.

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N2 - Riesz basis properties for a class of self-adjoint and continuous operator functions are studied. A new approach based on the spectral distribution function is presented.

AB - Riesz basis properties for a class of self-adjoint and continuous operator functions are studied. A new approach based on the spectral distribution function is presented.

KW - Eigenvectors

KW - Operator functions

KW - Riesz basis

KW - Spectral distriubution function

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DO - 10.1216/rmjm/1181069463

M3 - Article

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VL - 36

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EP - 496

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 2

ER -

A note on riesz bases of eigenvectors for a class of nonanalytic operator functions

Abstract

Keywords

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