Coherent trace-class operators in Hilbert couples
| Autor: | V. I. Ovchinnikov |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Unbounded operator
Nuclear operator General Mathematics Hilbert space Spectral theorem Operator theory Fourier integral operator Compact operator on Hilbert space Algebra symbols.namesake TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION symbols Operator norm Mathematics |
| Zdroj: | Mathematical Notes. 63:764-769 |
| ISSN: | 1573-8876 0001-4346 |
| DOI: | 10.1007/bf02312770 |
| Popis: | In this paper it is proved that the ideal of trace-class operators acting in a couple of Hilbert spaces coincides with the ideal of coherent trace-class operators. A new formula is derived for theK-functional in the couple of algebras of all bounded linear operators acting in a Hilbert couple, and new interpolation theorems are proved for trace class operators. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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