Linear Operators, Part 2 |
From inside the book
Results 1-3 of 36
Page 2312
... space X. Let f * , f * , ... , f * be a basis for the solutions of the equation ( T * — λo ) ƒ * = 0 and let Σ be ... Banach space . It is well to remark , how- ever , that in the special case in which the Banach space is Hilbert space ...
... space X. Let f * , f * , ... , f * be a basis for the solutions of the equation ( T * — λo ) ƒ * = 0 and let Σ be ... Banach space . It is well to remark , how- ever , that in the special case in which the Banach space is Hilbert space ...
Page 2313
... 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 Banach - space formulas do not have complex ...
... 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 Banach - space formulas do not have complex ...
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 ...
Contents
SPECTRAL OPERATORS | 1924 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
Copyright | |
26 other sections not shown
Other editions - View all
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