On commutativity of C*-algebras
1987 ◽
Vol 29
(1)
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pp. 93-97
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Two numerical characterizations of commutativity for C*-algebra (acting on the Hilbert space H) were given in [1]; one used the norms of self-adjoint operators in (Theorem 2), and the other the numerical index of (Theorem 3). In both cases the proofs were based on the result of Kaplansky which states that if the only nilpotent operator in is 0, then is commutative ([2] 2.12.21, p. 68). Of course the converse also holds.
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1997 ◽
Vol 49
(6)
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pp. 1188-1205
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2002 ◽
Vol 13
(09)
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pp. 1009-1025
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2004 ◽
Vol 16
(02)
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pp. 257-280
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1991 ◽
Vol 02
(03)
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pp. 235-255
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2016 ◽
Vol 59
(1)
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pp. 1-10
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1984 ◽
Vol 98
(1-2)
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pp. 13-24
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1996 ◽
Vol 119
(2)
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pp. 297-308
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