# Tensor products of almost $r$-summing maps

Authors
Publisher
Universitat de Barcelona
Publication Date

## Abstract

If $T_1$ and $T_2$ are continuous linear maps on locally convex spaces, we prove that $T_1\otimes T_2$ is almost $r$-summing if and only $T_1$ and $T_2$ so are. We also obtain a sufficient condition under which the unique extension of $T_1\otimes T_2$ to the complete $\epsilon$-tensor product is almost $r$-summing. \newline 1980 Mathematics Subject Classification: Primary 46E40. Secondary 47B10.

Seen <100 times

# More articles like this

1989

Dec 04, 1999

May 19, 2015

## Tensor products of positive maps of matrix algebra...

Sep 01, 2012
More articles like this..