Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices

In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert sp...

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Main Author: Elif Otkun Çevik
Format: Article
Language:English
Published: Emrah Evren KARA 2022-03-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/2077880
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author Elif Otkun Çevik
author_facet Elif Otkun Çevik
author_sort Elif Otkun Çevik
collection DOAJ
description In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert spaces has been studied.
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spelling doaj.art-b695162bb9e3423da05a05a74283bce82024-02-27T04:36:36ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012022-03-01511710.33434/cams.10226861225Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator MatricesElif Otkun Çevik0AVRASYA ÜNİVERSİTESİIn this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert spaces has been studied.https://dergipark.org.tr/tr/download/article-file/2077880antidiagonal operator matrixnumerical radiusoperator normspectral radius
spellingShingle Elif Otkun Çevik
Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
Communications in Advanced Mathematical Sciences
antidiagonal operator matrix
numerical radius
operator norm
spectral radius
title Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
title_full Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
title_fullStr Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
title_full_unstemmed Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
title_short Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
title_sort gap between operator norm and spectral radius for the square of antidiagonal block operator matrices
topic antidiagonal operator matrix
numerical radius
operator norm
spectral radius
url https://dergipark.org.tr/tr/download/article-file/2077880
work_keys_str_mv AT elifotkuncevik gapbetweenoperatornormandspectralradiusforthesquareofantidiagonalblockoperatormatrices