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Bounded operators and complemented subspaces of Cartesian products

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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