A compact operator characterization of ?1

1974 ◽  
Vol 208 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Daniel J. Randtke
1980 ◽  
Vol 21 (2) ◽  
pp. 143-149
Author(s):  
Charles A. Akemann ◽  
Steve Wright

In Section 33 of [2], Bonsall and Duncan define an elementtof a Banach algebratoact compactlyonif the mapa→tatis a compact operator on. In this paper, the arguments and technique of [1] are used to study this question for C*-algebras (see also [10]). We determine the elementsbof a C*-algebrafor which the mapsa→ba,a→ab,a→ab+ba,a→babare compact (respectively weakly compact), determine the C*-algebras which are compact in the sense of Definition 9, of [2, p. 177] and give a characterization of the C*-automorphisms ofwhich are weakly compact perturbations of the identity.


2019 ◽  
Vol 40 (10) ◽  
pp. 1429-1448 ◽  
Author(s):  
Jianqiao Guo ◽  
Yajun Yin ◽  
Gexue Ren

1980 ◽  
Vol 21 (1) ◽  
pp. 143-149 ◽  
Author(s):  
Charles A. Akemann ◽  
Steve Wright

In Section 33 of [2], Bonsall and Duncan define an elementtof a Banach algebratoact compactlyonif the mapa→tatis a compact operator on. In this paper, the arguments and technique of [1] are used to study this question for C*-algebras (see also [10]). We determine the elementsbof a C*-algebrafor which the mapsa→ba,a→ab,a→ab+ba,a→babare compact (respectively weakly compact), determine the C*-algebras which are compact in the sense of Definition 9, of [2, p. 177] and give a characterization of the *-automorphisms ofwhich are weakly compact perturbations of the identity.


2012 ◽  
Vol 23 (1-2) ◽  
pp. 105-112
Author(s):  
Witold Wnuk

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