Chattopadhyay, Arup ; Das, B. Krishna ; Sarkar, Jaydeb (2016) Inner multipliers and Rudin type invariant subspaces Acta Scientiarum Mathematicarum, 82 (3-4). pp. 519-528. ISSN 0001-6969
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Official URL: https://doi.org/10.14232/actasm-015-773-y
Related URL: http://dx.doi.org/10.14232/actasm-015-773-y
Abstract
Let ℰ be a Hilbert space and H2ℰ {ie519-1}be the ℰ‑valued Hardy space over the unit disc {ie519-2} in C. The well-known Beurling–Lax–Halmos theorem states that every shift-invariant subspace of H2ℰ{ie519-3}, other than {0}, has the form Θ H2ℰ{ie519-4}, where Θ is an operator-valued inner multiplier in {ie519-5}for some Hilbert space ℰ*. In this paper we identify H2{ie519-6}) with the H2{ie519-7}) -valued Hardy space {ie519-8}, and classify all such inner multipliers {ie519-9} for which {ie519-10} is a Rudin type invariant subspace of H2({ie519-11}).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to University of Szeged, Hungary. |
| Keywords: | Hardy space; Inner sequence; Operator-valued inner function; Invariant subspace; Unitary equivalence. |
| ID Code: | 140596 |
| Deposited On: | 29 Dec 2025 10:44 |
| Last Modified: | 29 Dec 2025 10:44 |
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