This article is cited in 3 papers

On Bessel Systems in a Banach Space

P. A. Terekhin

Saratov State University named after N. G. Chernyshevsky

Abstract: We consider Bessel systems in a Banach space and study their operator and projective characteristics. Using an operator construction for the continuation of the system, we prove an analog of Schur's theorem on continuable systems.

Keywords: Bessel system, Banach space, continuation of a Bessel system, linear operator, model space, Schur's theorem.

UDC: 517.51+517.98

Received: 22.05.2009

DOI: 10.4213/mzm7697

 English version: Mathematical Notes, 2012, 91:2, 272–282

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