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SPECTRUM OF A SELF-ADJOINT OPERATOR AND PALAIS–SMALE CONDITIONS

Published online by Cambridge University Press:  01 April 2000

C. A. STUART
C. A. STUART
Affiliation:
Département de Mathématiques, Ecole Polytechnique Fédérale Lausanne, CH-1015 Lausanne, Switzerland
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Abstract

The spectrum and essential spectrum of a self-adjoint operator in a real Hilbert space are characterized in terms of Palais–Smale conditions on its quadratic form and Rayleigh quotient respectively.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 61 , Issue 2 , April 2000 , pp. 581 - 592
Copyright
The London Mathematical Society 2000

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