Maximal noncompactness of embeddings into Marcinkiewicz spaces
Abstract We develop a new functional-analytic technique for investigating the degree of noncompactness of an operator defined on a quasinormed space and taking values in a Marcinkiewicz space. The main result is a general principle from which it can be derived that such operators are almost always maximally noncompact in the sense that their ball measure of noncompactness coincides with their operator norm. We point out specifications of the universal principle to the case of the identity operator.
Authors
- Jan Malý (ORCID: https://orcid.org/0000-0002-3615-9879)
- Zdeněk Mihula (ORCID: https://orcid.org/0000-0001-6962-7635)
- Luboš Pick (ORCID: https://orcid.org/0000-0002-3584-1454)
- Vít Musil (ORCID: https://orcid.org/0000-0001-6083-227X)
Institutions
- Charles University (CZ)
- Masaryk University (CZ)
- Czech Technical University in Prague (CZ)
Publication Details
- Journal
- Annali di Matematica Pura ed Applicata (1923 -)
- Published
- 2025-06-16
- DOI
- https://doi.org/10.1007/s10231-025-01585-w
- Citations
- 1
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- České Vysoké Učení Technické v Praze
- Grantová Agentura České Republiky