Quasimultipliers of Operator Spaces
Masayoshi Kaneda (University of California, Irvine), Vern I., Paulsen (University of Houston)
TL;DR
This paper investigates quasimultipliers in operator spaces using the injective envelope, showing they induce all representable operator algebra products and generalizing the Banach-Stone theorem.
Contribution
It demonstrates that all operator algebra products on an operator space are generated by quasimultipliers, extending classical results.
Findings
All representable operator algebra products are induced by quasimultipliers
Generalizations of the Banach-Stone theorem are established
The injective envelope is used as a key tool
Abstract
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 induced by quasimultipliers. We obtain generalizations of the Banach-Stone theorem.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Holomorphic and Operator Theory · Advanced Banach Space Theory