On some local spectral theory and bounded local resolvent of operator matrices

On some local spectral theory and bounded local resolvent of operator matrices

We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries. Furthermore, we investigate the boundedness of the local resolvent function for operator matrices.

Bibliographic Details
Main Authors: Abdelaziz Tajmouati, Abdeslam El Bakkali, Mohammed Karmouni
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2018-07-01
Series:Mathematica Bohemica
Subjects:
local resolvent function
single-valued extension property
operator matrix
Online Access:http://mb.math.cas.cz/full/143/2/mb143_2_1.pdf
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spelling doaj-3ccf91fc041141d48d65c957e1a59a212020-11-25T01:22:00ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362018-07-01143211312210.21136/MB.2017.0052-16MB.2017.0052-16On some local spectral theory and bounded local resolvent of operator matricesAbdelaziz TajmouatiAbdeslam El BakkaliMohammed KarmouniWe extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries. Furthermore, we investigate the boundedness of the local resolvent function for operator matrices.http://mb.math.cas.cz/full/143/2/mb143_2_1.pdf local resolvent function single-valued extension property operator matrix
collection DOAJ
language English
format Article
sources DOAJ
author Abdelaziz Tajmouati
Abdeslam El Bakkali
Mohammed Karmouni
spellingShingle Abdelaziz Tajmouati
Abdeslam El Bakkali
Mohammed Karmouni
On some local spectral theory and bounded local resolvent of operator matrices
Mathematica Bohemica
local resolvent function
single-valued extension property
operator matrix
author_facet Abdelaziz Tajmouati
Abdeslam El Bakkali
Mohammed Karmouni
author_sort Abdelaziz Tajmouati
title On some local spectral theory and bounded local resolvent of operator matrices
title_short On some local spectral theory and bounded local resolvent of operator matrices
title_full On some local spectral theory and bounded local resolvent of operator matrices
title_fullStr On some local spectral theory and bounded local resolvent of operator matrices
title_full_unstemmed On some local spectral theory and bounded local resolvent of operator matrices
title_sort on some local spectral theory and bounded local resolvent of operator matrices
publisher Institute of Mathematics of the Czech Academy of Science
series Mathematica Bohemica
issn 0862-7959
2464-7136
publishDate 2018-07-01
description We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries. Furthermore, we investigate the boundedness of the local resolvent function for operator matrices.
topic local resolvent function
single-valued extension property
operator matrix
url http://mb.math.cas.cz/full/143/2/mb143_2_1.pdf
work_keys_str_mv AT abdelaziztajmouati onsomelocalspectraltheoryandboundedlocalresolventofoperatormatrices
AT abdeslamelbakkali onsomelocalspectraltheoryandboundedlocalresolventofoperatormatrices
AT mohammedkarmouni onsomelocalspectraltheoryandboundedlocalresolventofoperatormatrices
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