A comparison theorem for operators with compact resolvent
نویسندگان
چکیده
منابع مشابه
Structure Theorem for a -compact Operators
A contraction Tdefined on a complex Hilbert space is called Acompact if there exists a nonzero function/analytic in the open unit disc and continuous on the closed disc such that f( T) is a compact operator. In this paper, the factorization of / is used to obtain a structure theorem which describes the spectrum of T. Introduction. A bounded linear operator T on a complex Banach space X is calle...
متن کاملDrazin Inverses of Operators with Rational Resolvent
Let A be a bounded linear operator on a Banach space such that the resolvent of A is rational. If 0 is in the spectrum of A, then it is well known that A is Drazin invertible. We investigate spectral properties of the Drazin inverse of A. For example we show that the Drazin inverse of A is a polynomial in A.
متن کاملIndex Theorem for Equivariant Dirac Operators on Non-compact Manifolds
Let D be a (generalized) Dirac operator on a non-compact complete Riemannian manifold M acted on by a compact Lie group G. Let v : M → g = LieG be an equivariant map, such that the corresponding vector field on M does not vanish outside of a compact subset. These data define an element of K-theory of the transversal cotangent bundle to M . Hence, by embedding of M into a compact manifold, one c...
متن کاملON Lp RESOLVENT ESTIMATES FOR LAPLACE-BELTRAMI OPERATORS ON COMPACT MANIFOLDS
In this article we prove L estimates for resolvents of Laplace-Beltrami operators on compact Riemannian manifolds, generalizing results of [12] in the Euclidean case and [17] for the torus. We follow [18] and construct Hadamard’s parametrix, then use classical boundedness results on integral operators with oscillatory kernels related to the Carleson and Sjölin condition. Our initial motivation ...
متن کاملResolvent estimates for non-selfadjoint operators with double characteristics
We present recent progress in the understanding of the spectral and subelliptic properties of non-elliptic quadratic operators with application to the study of return to equilibrium for some systems of chains of oscillators. We then explain how these results allow to describe the spectral properties and to give sharp resolvent estimates for some classes of non-selfadjoint pseudodi erential oper...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1971
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1971-0282246-0