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The degree of nondensifiability of linear bounded operators and its applications

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The degree of nondensifiability of linear bounded operators and its applications

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dc.contributor.author García, Gonzalo es_ES
dc.contributor.author Mora, Gaspar es_ES
dc.date.accessioned 2024-04-26T12:23:39Z
dc.date.available 2024-04-26T12:23:39Z
dc.date.issued 2024-04-02
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/203794
dc.description.abstract [EN] 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. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Compartir igual (by-nc-sa) es_ES
dc.subject Linear operators es_ES
dc.subject Compact operators es_ES
dc.subject Degree of nondensifiability es_ES
dc.subject α-dense curves es_ES
dc.subject Hyers-Ulam stability constant es_ES
dc.title The degree of nondensifiability of linear bounded operators and its applications es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2024.19371
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation García, G.; Mora, G. (2024). The degree of nondensifiability of linear bounded operators and its applications. Applied General Topology. 25(1):213-228. https://doi.org/10.4995/agt.2024.19371 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2024.19371 es_ES
dc.description.upvformatpinicio 213 es_ES
dc.description.upvformatpfin 228 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 25 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\19371 es_ES


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