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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.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Jul 4, 2018
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