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# On Minimal and Maximal $p$-operator Space Structures

Published:2012-08-30
Printed: Mar 2014
• Serap Öztop,
Istanbul University, Faculty of Science, Department of Mathematics, Istanbul, Turkey
• Nico Spronk,
Department of Pure Mathematics, University of Waterloo, Waterloo, ON N2L 3G1
 Format: LaTeX MathJax PDF

## Abstract

We show that for $p$-operator spaces, there are natural notions of minimal and maximal structures. These are useful for dealing with tensor products.
 Keywords: $p$-operator space, min space, max space
 MSC Classifications: 46L07 - Operator spaces and completely bounded maps [See also 47L25] 47L25 - Operator spaces (= matricially normed spaces) [See also 46L07] 46G10 - Vector-valued measures and integration [See also 28Bxx, 46B22]