Abstract
The Köthe–Bochner spaces \(L_\rho (X)\) are the vector valued version of the scalar Köthe spaces \(L_\rho ,\) which generalize the Lebesgue spaces \(L^p,\) the Orlicz spaces and many other functional spaces. Fundamental properties (in connection with completeness, topological behaviour, convergence of sequences) are studied.
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The authors are very much indebted to the anonymous referees and to the editors for their most valuable suggestions which improved the quality of the present paper.
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Chiţescu, I., Sfetcu, RC. & Cojocaru, O. Köthe–Bochner Spaces: General Properties. Bull Braz Math Soc, New Series 50, 323–345 (2019). https://doi.org/10.1007/s00574-018-0101-0
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DOI: https://doi.org/10.1007/s00574-018-0101-0