Norm closed invariant subspaces in L∞ and H ∞

Keiji Izuchi; Daniel Suárez

doi:10.1017/S0017089504001880

Norm closed invariant subspaces in L^∞ and H ^∞

Keiji Izuchi, Daniel Suárez

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

1 Citació (Scopus)

Resum

We characterize norm closed subspaces B of L∞(∂D) such that C(∂D)B ⊂ B and maximal ones in the family of proper closed subspaces B of L∞(∂D) such that A(D)B ⊂ B, where A(D) is the disk algebra. Analogously, we characterize closed subspaces of H ∞ that are simultaneously invariant under S and S*, the forward and the backward shift operators, and maximal invariant subspaces of H∞.

Idioma original	Anglès
Pàgines (de-a)	399-404
Revista	Glasgow Mathematical Journal
Volum	46
Número	2
DOIs	https://doi.org/10.1017/S0017089504001880
Estat de la publicació	Publicada - 1 de maig 2004

Accés al document

10.1017/S0017089504001880

Altres arxius i enllaços

https://www.scopus.com/pages/publications/3042534241

Com citar-ho

@article{7242986b9b6a4ec0bf9726290d0c0eca,

title = "Norm closed invariant subspaces in L∞ and H ∞",

abstract = "We characterize norm closed subspaces B of L∞(∂D) such that C(∂D)B ⊂ B and maximal ones in the family of proper closed subspaces B of L∞(∂D) such that A(D)B ⊂ B, where A(D) is the disk algebra. Analogously, we characterize closed subspaces of H ∞ that are simultaneously invariant under S and S*, the forward and the backward shift operators, and maximal invariant subspaces of H∞.",

author = "Keiji Izuchi and Daniel Su{\'a}rez",

year = "2004",

month = may,

day = "1",

doi = "10.1017/S0017089504001880",

language = "English",

volume = "46",

pages = "399--404",

journal = "Glasgow Mathematical Journal",

issn = "0017-0895",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - Norm closed invariant subspaces in L∞ and H ∞

AU - Izuchi, Keiji

AU - Suárez, Daniel

PY - 2004/5/1

Y1 - 2004/5/1

N2 - We characterize norm closed subspaces B of L∞(∂D) such that C(∂D)B ⊂ B and maximal ones in the family of proper closed subspaces B of L∞(∂D) such that A(D)B ⊂ B, where A(D) is the disk algebra. Analogously, we characterize closed subspaces of H ∞ that are simultaneously invariant under S and S*, the forward and the backward shift operators, and maximal invariant subspaces of H∞.

AB - We characterize norm closed subspaces B of L∞(∂D) such that C(∂D)B ⊂ B and maximal ones in the family of proper closed subspaces B of L∞(∂D) such that A(D)B ⊂ B, where A(D) is the disk algebra. Analogously, we characterize closed subspaces of H ∞ that are simultaneously invariant under S and S*, the forward and the backward shift operators, and maximal invariant subspaces of H∞.

UR - https://www.scopus.com/pages/publications/3042534241

U2 - 10.1017/S0017089504001880

DO - 10.1017/S0017089504001880

M3 - Article

SN - 0017-0895

VL - 46

SP - 399

EP - 404

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 2