Hyperinvariant subspaces of bilateral shift operators with converging weighted sequences: {wn}, {w-n}, n = 1, ..., ∞.

Lucas Jódar

Stochastica (1985)

  • Volume: 9, Issue: 1, page 91-97
  • ISSN: 0210-7821

Abstract

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In this paper we study the existence of hyperinvariant subspaces of invertible weighted bilateral shift operators defined on a Hilbert space with orthogonal base {en}, n belonging to Z, by the expression T en = wn en+1, where the sequences {wn} y {w-n}, with n = 1, ..., ∞, are convergent.

How to cite

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Jódar, Lucas. "Subespacios hiperinvariantes de operadores desplazamiento bilateral con sucesiones de pesos convergentes: {wn}, {w-n}, n = 1, ..., ∞.." Stochastica 9.1 (1985): 91-97. <http://eudml.org/doc/38919>.

@article{Jódar1985,
abstract = {Estudiamos la existencia de subespacios hiperinvariantes de operadores desplazamiento bilateral ponderados e invertibles definidos sobre un espacio de Hilbert con base ortogonal \{en\}, n perteneciendo a Z, por la expresión T en = wn en+1, donde las sucesiones \{wn\} y \{w-n\}, con n = 1, ..., ∞, son convergentes.},
author = {Jódar, Lucas},
journal = {Stochastica},
keywords = {Subespacio invariante; Operadores desplazamiento; Algebra de operadores; Espacios de Hilbert; existence of hyperinvariant subspaces; bilateral weighted and invertible shift},
language = {spa},
number = {1},
pages = {91-97},
title = {Subespacios hiperinvariantes de operadores desplazamiento bilateral con sucesiones de pesos convergentes: \{wn\}, \{w-n\}, n = 1, ..., ∞.},
url = {http://eudml.org/doc/38919},
volume = {9},
year = {1985},
}

TY - JOUR
AU - Jódar, Lucas
TI - Subespacios hiperinvariantes de operadores desplazamiento bilateral con sucesiones de pesos convergentes: {wn}, {w-n}, n = 1, ..., ∞.
JO - Stochastica
PY - 1985
VL - 9
IS - 1
SP - 91
EP - 97
AB - Estudiamos la existencia de subespacios hiperinvariantes de operadores desplazamiento bilateral ponderados e invertibles definidos sobre un espacio de Hilbert con base ortogonal {en}, n perteneciendo a Z, por la expresión T en = wn en+1, donde las sucesiones {wn} y {w-n}, con n = 1, ..., ∞, son convergentes.
LA - spa
KW - Subespacio invariante; Operadores desplazamiento; Algebra de operadores; Espacios de Hilbert; existence of hyperinvariant subspaces; bilateral weighted and invertible shift
UR - http://eudml.org/doc/38919
ER -

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