Tensor products and Banach ideals of p-compact operators

1981 ◽  
Vol 35 (3) ◽  
pp. 343-351 ◽  
Author(s):  
Jan H. Fourie ◽  
Johan Swart
Keyword(s):  
Tensor Products ◽  
Compact Operators ◽  
Banach Ideals

scholarly journals Derivations on symmetric quasi-Banach ideals of compact operators

2013 ◽  
Vol 397 (2) ◽  
pp. 628-643 ◽  
Author(s):  
A.F. Ber ◽  
V.I. Chilin ◽  
G.B. Levitina ◽  
F.A. Sukochev
Keyword(s):  
Compact Operators ◽  
Banach Ideals

Banach ideals of p-compact operators

1979 ◽  
Vol 26 (4) ◽  
pp. 349-362 ◽  
Author(s):  
Jan Fourie ◽  
Johan Swart
Keyword(s):  
Compact Operators ◽  
Banach Ideals

scholarly journals On Banach ideals satisfying $c_0(\mathcal{A}(X,Y))=\mathcal{A}(X,c_0(Y))$

2008 ◽  
Vol 103 (1) ◽  
pp. 130
Author(s):  
J. M. Delgado ◽  
C. Piñeiro
Keyword(s):  
Banach Spaces ◽  
Compact Operators ◽  
Operator Ideal ◽  
Operator Norm ◽  
Banach Ideals

We characterize Banach ideals $[\mathcal{A},a]$ satisfying the equality $c_0(\mathcal{A}(X,Y))= \mathcal{A}(X,c_0(Y))$ for all Banach spaces $X$ and $Y$. Among other results we have proved that $\mathcal{K}$ (the normed operator ideal of all compact operators with the operator norm) is the only injective Banach ideal satisfying the equality.

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