Description of invariant subspaces of Lp(µ) by multiplication operators

Autores: María Luisa Rezola
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 35, Fasc. 2, 1984, págs. 207-219
Idioma: inglés
Títulos paralelos:
- Descripción de subespacios invariantes de Lp(µ) por operadores de multiplicación
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Resumen
- In this paper we give a description for the closed subspaces of $L^p(X,\mathcal{A},\mu), 1\leqslant p < \infty$, which are invariant under multiplication by a selfconjugate family of essentially bounded functions. This work is a continuation of [3] and [4] and the results obtained form part of the author's doctoral dissertation [5].