The degree of nondensifiability of linear bounded operators and its applications

Autor:	Gonzalo García, Gaspar Mora
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	linear operators compact operators degree of nondensifiability α -dense curves hyers-ulam stability constant Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 25, Iss 1, Pp 213-228 (2024)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2024.19371
Popis:	In the present paper we define the degree of nondensifiability (DND for short) of a bounded linear operator T on a Banach space and analyze its properties and relations with the Hausdorff measure of non-compactness (MNC for short) of T. As an application of our results, we have obtained a formula to find the essential spectral radius of a bounded operator T on a Banach space as well as we have provided the best possible lower bound for the Hyers-Ulam stability constant of T in terms of the aforementioned DND.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3bae818f7ab04a7ebd790595210949a7 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF