Operator ranges and completely bounded homomorphisms
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- by D. Benjamin Mathes PDF
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Abstract:
In this paper it is shown that the set of invariant operator ranges that induce completely bounded homomorphisms is a sublattice of $\operatorname {Lat}_{1/2}\mathfrak {A}$, when $\mathfrak {A}$ is any norm closed algebra of operators on a Hilbert space. A characterization of this sublattice is given, and several concrete examples are discussed.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 155-164
- MSC: Primary 47D25; Secondary 47A15, 47C05
- DOI: https://doi.org/10.1090/S0002-9939-1989-0979229-5
- MathSciNet review: 979229