Symmetrically Completely Bounded Linear Maps Between C*-Algebras
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AbstractWe study the properties of a new class SCB(L, B) of bounded linear maps, called symmetrically completely bounded maps, from a linear subspace L of a C* -algebra to another C*-algebra B. This class contains the class of all completely bounded linear maps from L to B. In particular, we obtain a representation theorem for maps in SCB(L, B) when B is the algebra of all bounded linear operators on a Hilbert space.
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1995 ◽
Vol 47
(4)
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pp. 744-785
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1987 ◽
Vol 39
(4)
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pp. 880-892
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1988 ◽
Vol 31
(1)
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pp. 127-144
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1974 ◽
Vol 26
(3)
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pp. 565-575
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1974 ◽
Vol 26
(1)
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pp. 115-120
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1994 ◽
Vol 37
(3)
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pp. 306-309
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2015 ◽
Vol 17
(05)
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pp. 1450042