9 citations · 15 across the 4 of their papers we have counts for
5 papers · 1 filter
Quasimultipliers of Operator Spaces
Masayoshi Kaneda, Vern I. Paulsen
We use the injective envelope to study quasimultipliers of operator spaces. We prove that all representable operator algebra products that an operator space can be endowed with are…
Lie Ideals in Operator Algebras
Alan Hopenwasser, Vern Paulsen
Let be a Banach algebra for which the group of invertible elements is connected. A subspace is a Lie ideal in if, and on…
Diagonals in Tensor Products of Operator Algebras
Vern Paulsen, Roger Smith
In this paper we give a short, direct proof, using only properties of the Haagerup tensor product, that if an operator algebra A possesses a diagonal in the Haagerup tensor product…
Characterizations of essential ideals as operator modules over C*-algebras
Masayoshi Kaneda, Vern Ival Paulsen
In this paper we give characterizations of essential left ideals of a C*-algebra in terms of their properties as operator -modules. Conversely, we seek C*-algebraic characte…
Multipliers of operator spaces, and the injective envelope
David P. Blecher, Vern I. Paulsen
We study the injective envelope I(X) of an operator space X, showing amongst other things that it is a self-dual Cmodule. We describe the diagonal corners of the injective env…