Linear Operators, Part 2 |
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Page 2113
... Foiaş [ 12 ] and Colojoară and Foias [ 1 , 4 ] . See also Apostol [ 4 , 5 , 11 , 15 ] , Colojoară and Foias [ 2 , 5 ] , Kariotis [ 1 ] , and Vasilescu [ 3 , 4 , 5 , 6 , 7 , 8 ] for other results concerning decomposable operators . Let S ...
... Foiaş [ 12 ] and Colojoară and Foias [ 1 , 4 ] . See also Apostol [ 4 , 5 , 11 , 15 ] , Colojoară and Foias [ 2 , 5 ] , Kariotis [ 1 ] , and Vasilescu [ 3 , 4 , 5 , 6 , 7 , 8 ] for other results concerning decomposable operators . Let S ...
Page 2117
... Foias [ 7 ] which appeared in 1960. This research was followed , in 1962 , by papers of Colojoară [ 1 , 2 ] and ... Foias [ 1 , 2 , 3 ] , Foiaş [ 9 , 10 , 11 , 13 ] , Ionescu Tulcea [ 5 ] , Kantorovitz [ 3 , 5 , 6 , 7 , 8 , 9 ] , Maeda ...
... Foias [ 7 ] which appeared in 1960. This research was followed , in 1962 , by papers of Colojoară [ 1 , 2 ] and ... Foias [ 1 , 2 , 3 ] , Foiaş [ 9 , 10 , 11 , 13 ] , Ionescu Tulcea [ 5 ] , Kantorovitz [ 3 , 5 , 6 , 7 , 8 , 9 ] , Maeda ...
Page 2509
... Foias in a series of papers and in a joint monograph with Colojoară ( see Colojoară - Foias [ 4 ] ) . The initial idea in this development is as follows . Let T be an operator in a B - space such that , for some A and k > 0 , ( * ) | T ...
... Foias in a series of papers and in a joint monograph with Colojoară ( see Colojoară - Foias [ 4 ] ) . The initial idea in this development is as follows . Let T be an operator in a B - space such that , for some A and k > 0 , ( * ) | T ...
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