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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 |