The ternary subspace and symmetric part of an operator space
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Date
2014
Authors
Kaneda, M.
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University
Abstract
In 2003, V. I. Paulsen and I denned the ternary subspace of an operator space as the
intersection of the space and the adjoint of its quasi-multiplier space. Recently, M. Neal and B. Russo
defined the completely symmetric part of an operator space by considering the symmetric part of the
matrix of infinite size w i t h entries in the operator space, and posed the question: Under what conditions
does it consist of the adjoint of quasi-multipliers? I give a partial answer to this question revealing the
relationship between the ternary subspace and the completely symmetric part.
Description
Keywords
ternary subspace, symmetric part, operator space