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Operator ideals and tensor norms defined by a sequence space

Published online by Cambridge University Press:  17 April 2009

J.A. López Molina  and
M.J. Rivera
J.A. López Molina
Affiliation:
Universidad Politécnica de Valencia, E.T.S. Ingenieros Agrónomos, Camino de Vera, 46072 Valencia, Spain, e-mail: jlope@zmat.upv.ex, mjrivera@mat.upv.es
M.J. Rivera
Affiliation:
Universidad Politécnica de Valencia, E.T.S. Ingenieros Agrónomos, Camino de Vera, 46072 Valencia, Spain, e-mail: jlope@zmat.upv.ex, mjrivera@mat.upv.es
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We study the tensor norm defined by a sequence space λ and its minimal and maximal operator ideals associated in the sense of Defant and Floret. Our results extend the classical theory related to the tensor norms of Saphar [16]. They show the key role played by the finite dimensional structure of the ultrapowers of λ in this kind of problems.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 499 - 517
Copyright
Copyright © Australian Mathematical Society 2004

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