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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2013 Volume 204, Number 8, Pages 3–40 (Mi sm8136)

This article is cited in 4 papers

$m$-Accretive extensions of a sectorial operator

Yu. M. Arlinskii, A. B. Popov

Volodymyr Dahl East-Ukrainian National University

Abstract: A description of all the maximal accretive extensions and their resolvents is given for a densely defined closed sectorial operator in terms of abstract boundary conditions. These results are applied to parametrize all the $m$-accretive extensions of a symmetric operator in a planar model of one-centre point interaction.
Bibliography: 40 titles.

Keywords: sectorial operator, accretive operator, linear relation, Friedrichs extension, boundary triplet.

UDC: 517.983.24

MSC: 47A20, 47B44

Received: 24.04.2012 and 28.03.2013

DOI: 10.4213/sm8136


 English version:
Sbornik: Mathematics, 2013, 204:8, 1085–1121

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© Steklov Math. Inst. of RAS, 2024