Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 11, Number 2 (2007), 523-530.
WEAKLY COMPLETELY CONTINUOUS SUBSPACES OF OPERATOR IDEALS
By introducing the concept of weakly completely continuous subspaces of operator ideals, it will be given some characterizations of this concept, specially in terms of relative weak compactness of all point evaluations related to that subspace. Also it is shown that the only Banach spaces such that all closed subspace of an operator ideal between them has this property, are reflexive Banach spaces.
Taiwanese J. Math., Volume 11, Number 2 (2007), 523-530.
First available in Project Euclid: 18 July 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47L05: Linear spaces of operators [See also 46A32 and 46B28] 47L20: Operator ideals [See also 47B10]
Secondary: 46B28: Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20] 46B99: None of the above, but in this section
Moshtaghioun, S. Mohammad. WEAKLY COMPLETELY CONTINUOUS SUBSPACES OF OPERATOR IDEALS. Taiwanese J. Math. 11 (2007), no. 2, 523--530. doi:10.11650/twjm/1500404706. https://projecteuclid.org/euclid.twjm/1500404706