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Rendiconti del Circolo Matematico di Palermo

, Volume 44, Issue 1, pp 21–44 | Cite as

Topological function-theoretic proofs in spectral theory

  • Fotios C. Paliogiannis
Article

Abstract

In this paper, the spectral theorem and related characterizations of the spectrum and the spectral projections for bounded self adjoint and normal operators on a Hilbert space, are proved in purely topological —function theoretic terms. The basis for such a development, is the Gelfand—Naimark theorem for commutativeC *-algebras and the fact that the structure space of the (abelian) von Neumann algebra generated by the operator is a Stonean space.

Keywords

Spectral Measure Spectral Theory Adjoint Operator Spectral Theorem Stonean Space 
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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References

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Copyright information

© Springer 1995

Authors and Affiliations

  • Fotios C. Paliogiannis
    • 1
  1. 1.Graduate School and University Center of The City University of New York

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