Title :

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

Author(s) :

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

Journal title :

Studia Mathematica

Pages :

21-35

Publisher :

Instytut Matematyczny - Polska Akademii Nauk

Publication date :

2010-06-10

ISSN :

0039-3223

English keyword(s) :

orthoprojections
Apostol modulus
boundary spectrum

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL