Klotz, Lutz and Wang, Dong (2014) Metric properties of convergence in measure with respect to a matrix-valued measure. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 30 (1). pp. 67-78. ISSN 0866-0174
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Abstract
A notion of convergence in measure with respect to a matrixvalued measure M is discussed and a corresponding metric space denoted by L0(M) is introduced. There are given some conditions on M under which L0(M) is locally convex or normable. Some density results are obtained and applied to the description of shift invariant sub-modules of L0(M) if M is defined on the σ-algebra of Borel sets of (−π, π].
| Item Type: | Article |
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| Uncontrolled Keywords: | Convergence in measure, matrix-valued measure, metric space, dense set, shift invariant subspace |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 06 Feb 2024 08:43 |
| Last Modified: | 06 Feb 2024 08:43 |
| URI: | http://real.mtak.hu/id/eprint/187616 |
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