Unbounded operator algebras
| Autor: | S. Shamloo, Mohammad B. Asadi, Z. Hassanpour-Yakhdani |
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| Rok vydání: | 2021 |
| Předmět: |
Unbounded operator
Pure mathematics Control and Optimization Algebra and Number Theory Functional analysis Representation theorem 010102 general mathematics 01 natural sciences Tensor product Operator algebra ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0103 physical sciences 010307 mathematical physics 0101 mathematics Morita equivalence Local operator Analysis Mathematics |
| Zdroj: | Annals of Functional Analysis. 12 |
| ISSN: | 2008-8752 2639-7390 |
| DOI: | 10.1007/s43034-021-00118-9 |
| Popis: | In this paper, we introduce the notion of abstract local operator algebras and operator modules, and provide a representation theorem for them which extends the BRS theorem for operator algebras. Furthermore, we give a new proof for the representation theorem of local operator systems. Also, we investigate the Haagerup tensor product of local operator spaces and Morita equivalence of local operator algebras. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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