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Spectral properties of some operator equations

✍ Scribed by V. S. Mokeichev

Publisher
Springer US
Year
1987
Tongue
English
Weight
316 KB
Volume
39
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES

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✍ Vitali Shevchik πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 557 KB

## Abstract Spectral properties of the semi‐elliptic operator equation image in __L__~__p__~ (1 < p < ∞) spaces are investigated. In particular it is proved that there exists __ΞΌ0__ such that if ΞΌ__> ΞΌ0__, then __A__~ΞΌ, __P__~ has the point spectrum and Ξ»~k~(__A__~ΞΌ, __P__~) ˜ where __A__~ΞΌ, __P_

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✍ Volker Hardt; Ekkehard WagenfΓΌhrer πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 960 KB

In this note we study the spectral properties of a multiplication operator in the space Lp(X)" which is given by an m by m matrix of measurable functions. Our particular interest is directed to the eigenvalues and the isolated spectral points which turn out to be eigenvalues. We apply these results