Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 53
Page 1912
... Chapter XV should be familiar with the elementary topics of algebra and point set topology found in Chapter I , the three basic principles of Chapter II , and the elementary properties of the theory of integration with respect to a ...
... Chapter XV should be familiar with the elementary topics of algebra and point set topology found in Chapter I , the three basic principles of Chapter II , and the elementary properties of the theory of integration with respect to a ...
Page 1913
... Chapter XV . In the following chapter it is shown just how close these three properties come to being sufficient to ensure that an operator is a spectral operator . In order to concentrate our attention on the new concepts and avoid ...
... Chapter XV . In the following chapter it is shown just how close these three properties come to being sufficient to ensure that an operator is a spectral operator . In order to concentrate our attention on the new concepts and avoid ...
Page 1915
... Chapter XX which have important applications to some of the most difficult problems of contemporary atomic physics , we give a proof independent of the earlier results of Chapter XVI . This was possible since it concerns a type of ...
... Chapter XX which have important applications to some of the most difficult problems of contemporary atomic physics , we give a proof independent of the earlier results of Chapter XVI . This was possible since it concerns a type of ...
Contents
SPECTRAL OPERATORS | 1924 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
20 other sections not shown
Other editions - View all
Common terms and phrases
A₁ adjoint operator algebra of projections Amer analytic arbitrary asymptotic B₁ Banach space Boolean algebra Borel set boundary conditions bounded Borel function bounded linear operator bounded operator commuting compact complete Boolean algebra complex numbers complex plane continuous functions converges Corollary countably additive Definition denote differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem follows immediately formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality inverse L₁ Lebesgue Math multiplicity Nauk SSSR norm operators in Hilbert perturbation PROOF properties prove quasi-nilpotent resolution Russian satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose trace class type spectral operator unbounded uniformly bounded vector zero