Grothendieck operators on tensor products
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- by P. Domański, M. Lindström and G. Schlüchtermann PDF
- Proc. Amer. Math. Soc. 125 (1997), 2285-2291 Request permission
Abstract:
We prove that for Banach spaces $E,F,G,H$ and operators $T\in \mathcal {L}(E,G)$, $S\in \mathcal {L}(F,H)$ the tensor product $T\otimes S:E \otimes _\varepsilon F\to G\otimes _\varepsilon H$ is a Grothendieck operator, provided $T$ is a Grothendieck operator and $S$ is compact.References
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Additional Information
- P. Domański
- Affiliation: Department of Mathematics, A. Mickiewicz University, 60-769 Poznań, Poland
- Email: domanski@math.amu.edu.pl
- M. Lindström
- Affiliation: Department of Mathematics, Åbo Akademi University, FIN-20500 Åbo, Finland
- Email: mikael.lindstrom@abo.fi
- G. Schlüchtermann
- Affiliation: Mathematisches Institut der Universität München, Theresienstrasse 39, D-80333 München, Germany
- Email: schluech@rz.mathematik.uni-muenchen.de
- Received by editor(s): August 29, 1995
- Received by editor(s) in revised form: January 9, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2285-2291
- MSC (1991): Primary 47A80
- DOI: https://doi.org/10.1090/S0002-9939-97-03763-5
- MathSciNet review: 1372028