Linear Operators, Part 2 |
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Page 1905
... Vol . XXV : By Harry Hochstadt Introduction to Mathematical Fluid Dynamics By Richard E. Meyer Differential Games By Avner Friedman PURE AND APPLIED MATHEMATICS A Series of Texts and Monographs PURE AND APPLIED MATHEMATICS.
... Vol . XXV : By Harry Hochstadt Introduction to Mathematical Fluid Dynamics By Richard E. Meyer Differential Games By Avner Friedman PURE AND APPLIED MATHEMATICS A Series of Texts and Monographs PURE AND APPLIED MATHEMATICS.
Page 2058
... applied on the universal scale which Newton's laws permitted . However , when applied to the solar system and certain other systems of macroscopic as opposed to microscopic nature , these laws allow the scientist to forecast the future ...
... applied on the universal scale which Newton's laws permitted . However , when applied to the solar system and certain other systems of macroscopic as opposed to microscopic nature , these laws allow the scientist to forecast the future ...
Page 2376
... applied with success to a wide variety of operators and , in particular , to certain partial differential operators of the form + V ( x ) . ▽ Applications of this same method to other operators are given as exercises in Section 5 ...
... applied with success to a wide variety of operators and , in particular , to certain partial differential operators of the form + V ( x ) . ▽ Applications of this same method to other operators are given as exercises in Section 5 ...
Contents
SPECTRAL OPERATORS | 1924 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
Copyright | |
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Common terms and phrases
A₁ adjoint operator algebra of projections Amer analytic arbitrary B-algebra B*-algebra B₁ Banach space Boolean algebra Borel sets boundary conditions bounded Borel function bounded linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition denote dense differential operator Doklady Akad domain eigenvalues elements equation exists finite number follows from Lemma formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math multiplicity Nauk SSSR norm operators in Hilbert perturbation polynomial PROOF properties prove quasi-nilpotent resolution Russian S₁ satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset subspace Suppose trace class type spectral operator unbounded uniformly bounded unique vector zero