Schur product with operator-valued entries
| Autor: | Ismael García-Bayona, Oscar Blasco |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
15B05
General Mathematics Toeplitz matrix vector-valued measures Space (mathematics) 01 natural sciences Combinatorics symbols.namesake Operator (computer programming) FOS: Mathematics Hadamard product 0101 mathematics Mathematics Schur multiplier 010102 general mathematics Hilbert space Schur product Functional Analysis (math.FA) Mathematics - Functional Analysis 010101 applied mathematics 46E40 47A56 Bounded function 46E40 (Primary) 47A56 15B05 (Secondary) symbols |
| Zdroj: | Taiwanese J. Math. 23, no. 5 (2019), 1175-1199 |
| DOI: | 10.48550/arxiv.1804.03432 |
| Popis: | In this paper we characterize Toeplitz matrices with entries in the space of bounded operators on Hilbert spaces $\mathcal{B}(H)$ which define bounded operators acting on $\ell^2(H)$ and use it to get the description of the right Schur multipliers acting on $\ell^2(H)$ in terms of certain operator-valued measures. |
| Databáze: | OpenAIRE |
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