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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2007 Volume 81, Issue 1, Pages 17–31 (Mi mzm3514)

This article is cited in 27 papers

Spectral Theory of Linear Relations on Real Banach Spaces

A. G. Baskakov, A. S. Zagorskii

Voronezh State University

Abstract: We consider the relationship between the spectral properties of linear relations (multivalued linear operators) on real Banach spaces and their complexifications.

Keywords: linear relation (multivalued linear operator), Banach space, spectral theory of linear operators, covariant complexification functor, functional calculus.

UDC: 517.98

Received: 26.12.2005

DOI: 10.4213/mzm3514


 English version:
Mathematical Notes, 2007, 81:1, 15–27

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