On p-dependent local spectral properties of certain linear differential operators in $L^{p}(ℝ^{N})

• Autorzy: E. Albrecht , W. J. Ricker
• Języki publikacji: EN

Abstrakty

EN

The aim is to investigate certain spectral properties, such as decomposability, the spectral mapping property and the Lyubich-Matsaev property, for linear differential operators with constant coefficients ( and more general Fourier multiplier operators) acting in $L^p(ℝ^N)$. The criteria developed for such operators are quite general and p-dependent, i.e. they hold for a range of p in an interval about 2 (which is typically not (1,∞)). The main idea is to construct appropriate functional calculi: this is achieved via a combination of methods from the theory of Fourier multipliers and local spectral theory.

Kategorie tematyczne

• 47B40: Spectral operators, decomposable operators, well-bounded operators, etc.
• 47A60: Functional calculus
• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 130
• Numer: 1
• Strony: 23-52

Daty

wydano

1998

otrzymano

1996-12-09

poprawiono

1997-12-29

Twórcy

autor

E. Albrecht

• Fachbereich Mathematik, Universität des Saarlandes, Postfach 151150, D-66141 Saarbrücken, Germany,

autor

W. J. Ricker

• School of Mathematics, University of New South Wales, Sydney, N.S.W., 2025, Australia,

Bibliografia

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