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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 1997 Volume 247, Pages 71–78 (Mi znsl563)
This article is cited in 1 paper

Characteristic functions and their factorizations

V. V. Kapustin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: A new definition of the characteristic function is introduced for contractions on Hilbert spaces. The relationship with the other definitions is established. A factorization formula corresponding to an invariant subspace is obtained.

UDC: 517.984

Received: 01.11.1996


 English version: Journal of Mathematical Sciences (New York), 2000, 101:3, 3088–3092

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