Linear Operators, Part 2 |
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Page 2313
... space we use the Hermitian rather than the pure Banach space adjoint , contrary to our practice in other Banach spaces . This has the effect of introducing complex conjugates in many of the Hilbert - space formulas where the corresponding ...
... space we use the Hermitian rather than the pure Banach space adjoint , contrary to our practice in other Banach spaces . This has the effect of introducing complex conjugates in many of the Hilbert - space formulas where the corresponding ...
Page 2514
... spaces and decomposable operators . Rev. Roumaine Math . Pures Appl . 12 , 607–610 ( 1967 ) . 16. Some properties of a couple of operators on a Banach space . Rev. Roumaine Math . Pures Appl . 12 , 1005–1010 ( 1967 ) . 17. On some ...
... spaces and decomposable operators . Rev. Roumaine Math . Pures Appl . 12 , 607–610 ( 1967 ) . 16. Some properties of a couple of operators on a Banach space . Rev. Roumaine Math . Pures Appl . 12 , 1005–1010 ( 1967 ) . 17. On some ...
Page 2539
... spaces with an arbitrary Hermitian bilinear metric . Uspehi Mat . Nauk 17 ( 106 ) , 127–133 ( 1962 ) . ( Russian ) ... Banach spaces ( I ) . J. Math . Mech . 14 , 841-856 ( 1965 ) . 5. Notes on spectral theory . Technical report , U.S. ...
... spaces with an arbitrary Hermitian bilinear metric . Uspehi Mat . Nauk 17 ( 106 ) , 127–133 ( 1962 ) . ( Russian ) ... Banach spaces ( I ) . J. Math . Mech . 14 , 841-856 ( 1965 ) . 5. Notes on spectral theory . Technical report , U.S. ...
Contents
SPECTRAL OPERATORS | 1924 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
Copyright | |
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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