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Extending and factorizing bounded bilinear maps defined on order continuous Banach function spaces

Calabuig Rodriguez, Jose Manuel; Fernandez Unzueta, M.; Galaz Fontes, F.; Sánchez Pérez, Enrique Alfonso (Springer, 2014-09)

We consider the problem of extending or factorizing a bounded bilinear map defined on a couple of order continuous Banach function spaces to its optimal domain, i.e. the biggest couple of Banach function spaces to which ...
Optimal extensions of compactness properties for operators on Banach function spaces

Calabuig, J. M.; Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso (Elsevier, 2016)

[EN] Compactness type properties for operators acting in Banach function spaces are not always preserved when the operator is extended to a bigger space. Moreover, it is known that there exists a maximal (weakly) compact ...
Optimal extensions of Lipschitz maps on metric spaces of measurable functions

Rueda, Pilar; Sánchez Pérez, Enrique Alfonso (Elsevier, 2024-01-15)

[EN] We prove a factorization theorem for Lipschitz operators acting on certain subsets of metric spaces of measurable functions and with values on general metric spaces. Our results show how a Lipschitz operator can be ...
The Cesàro operator in growth Banach spaces of analytic functions

Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J. (Springer-Verlag, 2016)

[EN] The CesA ro operator C, when acting in the classical growth Banach spaces and , for , of analytic functions on , is investigated. Based on a detailed knowledge of their spectra (due to A. Aleman and A.-M. Persson) we ...

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Listar por palabra clave "Optimal domain"

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