Comparison of Spectras in Some Functional Spaces

  • A. Turan Gürkanli
Part of the NATO ASI Series book series (ASIC, volume 315)

Abstract

In this work we define two different spectras denoted by sp \({}_{{}_{\text{w}}{\text{x}}}{\text{f}}\), spf in the space(S(IRn))′ and investigate some properties of these spectras, where S(IRn) is the Segal algebra containing the vector space of rapidly decreasing functions ϕ(IRn) as a dense subspace and (S(IRn))′ is the topological dual of S(IRn). Finally we prove that spf=sp \({}_{{}_{\text{w}}{\text{x}}}{\text{f}}\). In addition to this, some applications of this work are also given.

Keywords

Compact Group Banach Algebra Dense Subspace Spectral Synthesis Pointwise Multiplication 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© kluwer Academic Publisher 1990

Authors and Affiliations

  • A. Turan Gürkanli
    • 1
  1. 1.Faculty of Art and Sciences Department of MathematicsOndokuz Mayis UniversitySamsunTurkey

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