Spectrum of a self-adjoint operator and Palais-Smale conditions

Authors
Stuart, CA
Citation
Ca. Stuart, Spectrum of a self-adjoint operator and Palais-Smale conditions, J LOND MATH, 61, 2000, pp. 581-592
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN journal
00246107 → ACNP
Volume
61
Year of publication
2000
Part
2
Pages
581 - 592
Database
ISI
SICI code
0024-6107(200004)61:<581:SOASOA>2.0.ZU;2-O
Abstract
The spectrum and essential spectrum of a self-adjoint operator in a real Hi lbert space are characterized in terms of Palais-Smale conditions on its qu adratic form and Rayleigh quotient respectively.