Titre :

GEOMETRIC, SPECTRAL AND ASYMPTOTIC PROPERTIES OF AVERAGED PRODUCTS OF PROJECTIONS IN BANACH SPACES

Auteur(s) :

Badea, Catalin [Auteur]
Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Lyubich, Yuri [Auteur]

Titre de la revue :

Studia Mathematica

Pagination :

21-35

Éditeur :

Instytut Matematyczny - Polska Akademii Nauk

Date de publication :

2010-06-10

ISSN :

0039-3223

Mot(s)-clé(s) en anglais :

orthoprojections
Apostol modulus
boundary spectrum

Discipline(s) HAL :

Mathématiques [math]/Analyse fonctionnelle [math.FA]

Résumé en anglais : [en]

According to the von Neumann-Halperin and Lapidus theorems, in a Hilbert space the iterates of products or, respectively, of convex combinations of orthoprojections are strongly convergent. We extend these results to the ...
Lire la suite >According to the von Neumann-Halperin and Lapidus theorems, in a Hilbert space the iterates of products or, respectively, of convex combinations of orthoprojections are strongly convergent. We extend these results to the iterates of convex combinations of products of some projections in a complex Banach space. The latter is assumed uniformly convex or uniformly smooth for the orthoprojections, or reflexive for more special projections, in particular, for the hermitian ones. In all cases the proof of convergence is based on a known criterion in terms of the boundary spectrum.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL