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Symmetrically Completely Bounded Linear Maps Between C*-Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
We 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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- Copyright © Canadian Mathematical Society 1992