Some Sobolev Spaces as Pontryagin Spaces

Authors

  • Vladimir Abramovich Strauss Universidad Simóon Bolívar, Caracas, Venezuela
  • Trunk Carsten Technische Universität Ilmenau, Institut für Mathematik, Ilmenau, Germany

Keywords:

Function spaces, Pontryagin spaces, selfadjoint operators, differential operators

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.

Author Biographies

Vladimir Abramovich Strauss, Universidad Simóon Bolívar, Caracas, Venezuela

Ph. D., Departamento de Matemáticas

Trunk Carsten, Technische Universität Ilmenau, Institut für Mathematik, Ilmenau, Germany

Dr. rer. nat., Professor, Analysis and Systems Theory Group

Published

2011-04-11

Issue

Section

Mathematics