banach ideals
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2016 ◽  
Vol 7 (4) ◽  
pp. 593-608 ◽  
Author(s):  
M. G. Cabrera-Padilla ◽  
J. A. Chávez-Domínguez ◽  
A. Jiménez-Vargas ◽  
Moisés Villegas-Vallecillos
Keyword(s):  

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

2008 ◽  
Vol 103 (1) ◽  
pp. 130
Author(s):  
J. M. Delgado ◽  
C. Piñeiro

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.


1990 ◽  
Vol 13 (3) ◽  
pp. 517-525 ◽  
Author(s):  
Hans G. Feichtinger ◽  
A. Turan Gürkanli

Continuing a line of research initiated by Larsen, Liu and Wang [12], Martin and Yap [13], Gürkanli [15], and influenced by Reiter's presentation of Beurling and Segal algebras in Reiter [2,10] this paper presents the study of a family of Banach ideals of Beurling algebrasLw1(G),Ga locally compact Abelian group. These spaces are defined by weightedLp-conditions of their Fourier transforms. In the first section invariance properties and asymptotic estimates for the translation and modulation operators are given. Using these it is possible to characterize inclusions in section 3 and to show that two spaces of this type coincide if and only if their parameters are equal. In section 4 the existence of approximate identities in these algebras is established, from which, among other consequences, the bijection between the closed ideals of these algebras and those of the corresponding Beurling algebra is derived.


1986 ◽  
Vol 126 (1) ◽  
pp. 27-33 ◽  
Author(s):  
Victor M. Onieva
Keyword(s):  

1981 ◽  
Vol 35 (3) ◽  
pp. 343-351 ◽  
Author(s):  
Jan H. Fourie ◽  
Johan Swart

1981 ◽  
Vol 69 (2) ◽  
pp. 123-131
Author(s):  
O. Reynov
Keyword(s):  

1979 ◽  
Vol 26 (4) ◽  
pp. 349-362 ◽  
Author(s):  
Jan Fourie ◽  
Johan Swart

1977 ◽  
Vol 41 ◽  
pp. 315 ◽  
Author(s):  
Hans G. Feichtinger
Keyword(s):  

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