Bounded operators and complemented subspaces of Cartesian products

Date

2011-02-01

Author

DJAKOV, PLAMEN
TERZİOĞLU, AHMET TOSUN
Yurdakul, Murat Hayrettin
Zahariuta, V.

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We study the structure of complemented subspaces in Cartesian products X x Y of Kothe spaces X and Y under the assumption that every linear continuous operator from X to Y is bounded. In particular, it is proved that each non-Montel complemented subspace with absolute basis E subset of X x Y is isomorphic to a space of the form E(1) x E(2), where E(1) is a complemented subspace of X and E(2) is a complemented subspace of Y. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Subject Keywords

Bounded operators, Cartesian products, Kothe spaces, Complemented subspaces

URI

https://hdl.handle.net/11511/32283

Journal

MATHEMATISCHE NACHRICHTEN

DOI

https://doi.org/10.1002/mana.200810066

Collections

Graduate School of Natural and Applied Sciences, Article

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Citation Formats

P. DJAKOV, A. T. TERZİOĞLU, M. H. Yurdakul, and V. Zahariuta, “Bounded operators and complemented subspaces of Cartesian products,” MATHEMATISCHE NACHRICHTEN, pp. 217–228, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32283.