Bounded operators and complemented subspaces of Cartesian products

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Djakov, Plamen Borissov and Terzioğlu, Tosun and Yurdakul, Murat and Zakharyuta, Vyacheslav (2011) Bounded operators and complemented subspaces of Cartesian products. Mathematische Nachrichten, 284 (2-3). pp. 217-228. ISSN 0025-584X

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Abstract

We study the structure of complemented subspaces in Cartesian products X × Y of Köthe 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 ⊂ X × Y is isomorphic to a space of the form E1 × E2, where E1 is a complemented subspace of X and E2 is a complemented subspace of Y.
Item Type: Article
Uncontrolled Keywords: Bounded operators; Cartesian products; Köthe spaces; Complemented subspaces
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Plamen Borissov Djakov
Date Deposited: 08 Mar 2011 11:43
Last Modified: 29 Jul 2019 14:57
URI: https://research.sabanciuniv.edu/id/eprint/16400

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