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The First Turkish International Conference on Topology and its Applications
August 2-5, 2000
Istanbul University
Istanbul, Turkey

Organizers
Nurettin Ergun, Mahir Hasanov, Turgut Önder, Cem Tezer, Murat Tuncali, Stephen Watson

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Tensor product of positive operators
by
Safak Alpay
Middle East Technical University

We study the projective tensor product E1 \otimes\pi E1 of Banach lattices E1, E2. We show that E1 \otimes\pi E2 has order continuous norm and positive Schur property if the factors have the same property.

We consider tensor products of operators and show that T1 \otimes\pi T2 : X1 \otimes\pi X2 --> E1 \otimes\pi E2 is a semicompact operator if Ti : Xi --> i are semicompact. We also deal with absolutely summing and majorizing operators and show that T1 \otimes\pi T2 is majorizing (cone absolutely summing) if the factors are.

Date received: April 11, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeh-04.