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Köthe–Bochner Spaces: General Properties

Köthe–Bochner Spaces: General Properties The Köthe–Bochner spaces $$L_\rho (X)$$ L ρ ( X ) are the vector valued version of the scalar Köthe spaces $$L_\rho ,$$ L ρ , which generalize the Lebesgue spaces $$L^p,$$ L p , the Orlicz spaces and many other functional spaces. Fundamental properties (in connection with completeness, topological behaviour, convergence of sequences) are studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

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References (30)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-018-0101-0
Publisher site
See Article on Publisher Site

Abstract

The Köthe–Bochner spaces $$L_\rho (X)$$ L ρ ( X ) are the vector valued version of the scalar Köthe spaces $$L_\rho ,$$ L ρ , which generalize the Lebesgue spaces $$L^p,$$ L p , the Orlicz spaces and many other functional spaces. Fundamental properties (in connection with completeness, topological behaviour, convergence of sequences) are studied.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Jul 4, 2018

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