V. A. Strauss, C. Trunk, “Some Sobolev spaces as Pontryagin spaces”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, Issue 6,Pages <nobr>14

Mathematics

Some Sobolev spaces as Pontryagin spaces

V. A. Strauss^a, C. Trunk^b

^a Universidad Simón Bolívar
^b Technische Universität Ilmenau, Institut für Mathematik, Ilmenau, Germany

Abstract: We show that well known Sobolev spaces can quite naturally be treated as Pontryagin spaces. This point of view gives a possibility to obtain new properties for some traditional objects such as simplest differential operators.

Keywords: Function spaces, Pontryagin spaces, selfadjoint operators, differential operators.

UDC: 517.982.22+517.983.35

Received: 22.03.2011

Language: English