Unbeschr\"ankte Multiplikatoren auf Operatorr\"aumen
Hendrik Schlieter
TL;DR
This paper introduces the concept of unbounded multipliers on operator spaces, extending the theory of regular operators on Hilbert C*-modules and bounded multipliers on operator spaces.
Contribution
It defines unbounded multipliers on operator spaces, generalizing existing concepts of regular and bounded multipliers in operator algebra theory.
Findings
Defined unbounded multipliers on operator spaces.
Extended the framework of regular operators on Hilbert C*-modules.
Unified the theory of bounded and unbounded multipliers.
Abstract
We introduce unbounded multipliers on operator spaces. These multipliers generalize both, regular operators on Hilbert C*-modules and (bounded) multipliers on operator spaces. ----- Wir definieren den Begriff eines unbeschr\"ankten Multiplikators auf Operatorr\"aumen. Diese Multiplikatoren verallgemeinern sowohl regul\"are Operatoren auf Hilbert-C*-Moduln als auch (beschr\"ankte) Multiplikatoren auf Operatorr\"aumen.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Operator Algebra Research · Spectral Theory in Mathematical Physics