Linear Operators, Part 2 |
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Page 2551
... Univ . Ser . A - I 26 , 71-76 ( 1962 ) . 6. On spectral representations of generalized spectral operators . J. Sci . Hiroshima Univ . Ser . A - I 27 , 137-149 ( 1963 ) . 7 . Generalized unitary operators . Bull . Amer . Math . Soc . 71 ...
... Univ . Ser . A - I 26 , 71-76 ( 1962 ) . 6. On spectral representations of generalized spectral operators . J. Sci . Hiroshima Univ . Ser . A - I 27 , 137-149 ( 1963 ) . 7 . Generalized unitary operators . Bull . Amer . Math . Soc . 71 ...
Page 2552
... Univ . Carolinae 3 , 20–30 ( 1962 ) . 2 . A note on K - positive operators . Comment . Math . Univ . Carolinae 4 , 137–146 ( 1963 ) . 3. On the minimax principle for K - positive operators . Comment . Math . Univ . Carolinae 7 , 109-112 ...
... Univ . Carolinae 3 , 20–30 ( 1962 ) . 2 . A note on K - positive operators . Comment . Math . Univ . Carolinae 4 , 137–146 ( 1963 ) . 3. On the minimax principle for K - positive operators . Comment . Math . Univ . Carolinae 7 , 109-112 ...
Page 2556
... Univ . Tokyo 14 , 165–179 ( 1964 ) . Niiro , F. , and Sawashima , I. 1. On the spectral properties of positive irreducible operators in an arbitrary Banach lattice and problems of H. H. Schaefer . Sci . Papers College Gen. Ed . Univ ...
... Univ . Tokyo 14 , 165–179 ( 1964 ) . Niiro , F. , and Sawashima , I. 1. On the spectral properties of positive irreducible operators in an arbitrary Banach lattice and problems of H. H. Schaefer . Sci . Papers College Gen. Ed . Univ ...
Contents
SPECTRAL OPERATORS | 1924 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
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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