Gantmacher-Kreĭn theorem for 2 nonnegative operators in spaces of functions

The existence of the second (according to the module) eigenvalue λ2 of a completely continuous nonnegative operator A is proved under the conditions that A acts in the space Lp(Ω) or C(Ω) and its exterior square A∧A is also nonnegative. For the case when the operators A and A∧A are indecomposable, t...

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Bibliographic Details
Main Authors: O. Y. Kushel, P. P. Zabreiko
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/48132
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