An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces
Let E be a separable symmetric space on 0,∞ and EM the corresponding noncommutative space. In this paper, we introduce a kind of quasimartingale spaces which is like but bigger than EM and obtain the following interpolation result: let E^M be the space of all bounded EM-quasimartingales and 1<p&l...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6678150 |
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| Summary: | Let E be a separable symmetric space on 0,∞ and EM the corresponding noncommutative space. In this paper, we introduce a kind of quasimartingale spaces which is like but bigger than EM and obtain the following interpolation result: let E^M be the space of all bounded EM-quasimartingales and 1<p<pE<qE<q<∞. Then, there exists a symmetric space F on 0,∞ with nontrivial Boyd indices such that E^M=L^pM,L^qMF,K. |
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| ISSN: | 1687-9120 1687-9139 |