TITLE

# Approximation of p-summing operators by adjoints

AUTHOR(S)
Reinov, Oleg I.
PUB. DATE
May 2012
SOURCE
AIP Conference Proceedings;5/22/2012, Vol. 1450 Issue 1, p32
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We consider the following question for the ideals Î p of absolutely p-summing operators: Is it true that, for given Banach spaces X and Y, the unit ball of the space Î p(X,Y) is dense, for some natural topology, in the unit ball of the space Î p(X,Y**) or in the unit ball of the corresponding space Î pdual(Y*,X*): = {U:Y*â†’X*|U*|XÆ¸Î p(X,Y**)}? As 'natural topologies', we consider strong and weak operator topologies, compact-open topology, topology of X Ã— Y*-convergence etc.
ACCESSION #
75526961

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