Uniformly $\mu$-continuous topologies on Köthe-Bochner spaces and Orlicz-Bochner spaces
Feledziak, Krzysztof
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 453-468 / Harvested from Czech Digital Mathematics Library
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Some class of locally solid topologies (called uniformly $\mu$-continuous) on \linebreak Köthe-Bochner spaces that are continuous with respect to some natural two-norm convergence are introduced and studied. A characterization of uniformly $\mu$-continuous topologies in terms of some family of pseudonorms is given. The finest uniformly $\mu$-continuous topology $\Cal T^\varphi_I(X)$ on the Orlicz-Bochner space $L^\varphi(X)$ is a generalized mixed topology in the sense of P. Turpin (see [11, Chapter I]).

Publié le : 1998-01-01
Classification:  46A70,  46E30,  46E40 
@article{119024,
     author = {Krzysztof Feledziak},
     title = {Uniformly $\mu$-continuous topologies on K\"othe-Bochner spaces and Orlicz-Bochner spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {453-468},
     zbl = {0970.46015},
     mrnumber = {1666774},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119024}
}

Feledziak, Krzysztof. Uniformly $\mu$-continuous topologies on Köthe-Bochner spaces and Orlicz-Bochner spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 453-468. http://gdmltest.u-ga.fr/item/119024/

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