On some numerical characteristics of operators

We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert space of the unit disc.

Bibliographic Details
Main Authors:	M. Gürdal, M.T. Garayev, S. Saltan, U. Yamancı
Format:	Article
Language:	English
Published:	Emerald Publishing 2015-01-01
Series:	Arab Journal of Mathematical Sciences
Subjects:	Berezin symbol Berezin number Maximal numerical range Maximal Berezin set Toeplitz operator Numerical range Normal operator
Online Access:	http://www.sciencedirect.com/science/article/pii/S1319516614000061

id	doaj-100bbe81c44b456ea5e36868575f8d6a
record_format	Article
spelling	doaj-100bbe81c44b456ea5e36868575f8d6a2021-05-02T19:15:34ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662015-01-0121111812610.1016/j.ajmsc.2014.05.001On some numerical characteristics of operatorsM. Gürdal0M.T. Garayev1S. Saltan2U. Yamancı3Suleyman Demirel University, Department of Mathematics, 32260 Isparta, TurkeyDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaSuleyman Demirel University, Department of Mathematics, 32260 Isparta, TurkeySuleyman Demirel University, Department of Mathematics, 32260 Isparta, TurkeyWe investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert space of the unit disc.http://www.sciencedirect.com/science/article/pii/S1319516614000061Berezin symbolBerezin numberMaximal numerical rangeMaximal Berezin setToeplitz operatorNumerical rangeNormal operator
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M. Gürdal M.T. Garayev S. Saltan U. Yamancı
spellingShingle	M. Gürdal M.T. Garayev S. Saltan U. Yamancı On some numerical characteristics of operators Arab Journal of Mathematical Sciences Berezin symbol Berezin number Maximal numerical range Maximal Berezin set Toeplitz operator Numerical range Normal operator
author_facet	M. Gürdal M.T. Garayev S. Saltan U. Yamancı
author_sort	M. Gürdal
title	On some numerical characteristics of operators
title_short	On some numerical characteristics of operators
title_full	On some numerical characteristics of operators
title_fullStr	On some numerical characteristics of operators
title_full_unstemmed	On some numerical characteristics of operators
title_sort	on some numerical characteristics of operators
publisher	Emerald Publishing
series	Arab Journal of Mathematical Sciences
issn	1319-5166
publishDate	2015-01-01
description	We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert space of the unit disc.
topic	Berezin symbol Berezin number Maximal numerical range Maximal Berezin set Toeplitz operator Numerical range Normal operator
url	http://www.sciencedirect.com/science/article/pii/S1319516614000061
work_keys_str_mv	AT mgurdal onsomenumericalcharacteristicsofoperators AT mtgarayev onsomenumericalcharacteristicsofoperators AT ssaltan onsomenumericalcharacteristicsofoperators AT uyamancı onsomenumericalcharacteristicsofoperators
_version_	1721488494180696064

On some numerical characteristics of operators

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