Elementary operators on prime C*-algebras II
1988 ◽
Vol 30
(3)
◽
pp. 275-284
◽
Keyword(s):
Compact elementary operators acting on the algebra ℒ(H) of all bounded operators on some Hilbert space H were characterised by Fong and Sourour in [9]. Akemann and Wright investigated compact and weakly compact derivations on C*-algebras [1], and also studied compactness properties of the sum and the product of the right and the left regular representation of an element in a C*-algebra [2]. They used the concept of a compact Banach algebra element due to Vala [17]: an element a in a Banach algebra A is called compact if the mapping x → axa is compact on A. This notion has been further investigated by Ylinen [18, 19, 20], who showed in particular that a is a compact element of the C*-algebra A if x ↦ axa is weakly compact on A [19].
1985 ◽
Vol 28
(1)
◽
pp. 41-58
◽
Keyword(s):
1985 ◽
Vol 37
(4)
◽
pp. 664-681
◽
Keyword(s):
1987 ◽
Vol 43
(1)
◽
pp. 1-9
◽
Keyword(s):
1993 ◽
Vol 36
(3)
◽
pp. 314-323
◽
Keyword(s):
2006 ◽
Vol 09
(04)
◽
pp. 529-546
2010 ◽
Vol 31
(5)
◽
pp. 1277-1286
◽