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Bounded operators and isomorphisms of Cartesian products of Frechet spaces
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Date
1998-01-01
Author
Djakov, P
Terzioglu, T
Yurdakul, Murat Hayrettin
Zahariuta, V
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URI
https://hdl.handle.net/11511/30189
Journal
MICHIGAN MATHEMATICAL JOURNAL
DOI
https://doi.org/10.1307/mmj/1030132302
Collections
Graduate School of Natural and Applied Sciences, Article
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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
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P. Djakov, T. Terzioglu, M. H. Yurdakul, and V. Zahariuta, “Bounded operators and isomorphisms of Cartesian products of Frechet spaces,”
MICHIGAN MATHEMATICAL JOURNAL
, pp. 599–610, 1998, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30189.