This article is cited in 4 papers

On $m$-sectorial extensions of sectorial operators

Yury Arlinskiĭ, Andrey Popov

Volodymyr Dahl East Ukrainian National University, 59-a Central Ave., Severodonetsk, 93400, Ukraine

Abstract: We study maximal sectorial extensions of an arbitrary closed densely defined sectorial operator. In particular, abstract boundary conditions for these extensions are obtained. The results are applied for the parametrization of all $m$-sectorial extensions of a nonnegative symmetric operator in a planar model of two-point interactions.

Key words and phrases: sectorial operator, accretive operator, Friedrichs extension, Kreĭn–von Neumann extension, boundary pair, boundary triplet.

MSC: 47A20, 47B25, 47B44, 47A06, 47A07, 82B23

Received: 23.12.2015
Revised: 10.02.2016

Language: English

DOI: 10.15407/mag13.03.205

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