Unbounded multipliers on operator spaces
Hendrik Schlieter, Wend Werner
TL;DR
This paper introduces unbounded multipliers on operator spaces, extending the concepts of regular operators on Hilbert C*-modules and bounded multipliers, thereby broadening the theoretical framework of operator space analysis.
Contribution
It presents the novel concept of unbounded multipliers on operator spaces, unifying and generalizing existing multiplier theories.
Findings
Defined unbounded multipliers on operator spaces
Established their relation to regular operators and bounded multipliers
Provided foundational properties and potential applications
Abstract
We introduce unbounded multipliers on operator spaces. These multipliers generalize both, regular operators on Hilbert C*-modules and (bounded) multipliers on operator spaces.
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