Linear Operators, Part 2 |
From inside the book
Results 1-3 of 12
Page 1964
... space of projec- tions in 5 . Associated with the spectral measure space ( S , 2 , e ) is the B * -algebra eB ( S ... topological space , we shall assume that contains the Borel subsets of S and that e ( o ) 0 if σ is a non - void set ...
... space of projec- tions in 5 . Associated with the spectral measure space ( S , 2 , e ) is the B * -algebra eB ( S ... topological space , we shall assume that contains the Borel subsets of S and that e ( o ) 0 if σ is a non - void set ...
Page 2130
... topological space which is also ordered is said to be an ordered topological vector space in case its positive cone is closed . For an exposition of ordered topological vector spaces , we refer the reader to the books of Day [ 12 ] ...
... topological space which is also ordered is said to be an ordered topological vector space in case its positive cone is closed . For an exposition of ordered topological vector spaces , we refer the reader to the books of Day [ 12 ] ...
Page 2560
... space . Studia Math . 25 , 245–249 ( 1964/65 ) Remarks on P - operators in linear topological spaces . Prace Mat . 9 , 91-94 ( 1965 ) . 3 . 4 . On quasi - Fredholm ideals . Studia Math . 26 , 67–71 ( 1965 ) . 5. Equations in linear spaces ...
... space . Studia Math . 25 , 245–249 ( 1964/65 ) Remarks on P - operators in linear topological spaces . Prace Mat . 9 , 91-94 ( 1965 ) . 3 . 4 . On quasi - Fredholm ideals . Studia Math . 26 , 67–71 ( 1965 ) . 5. Equations in linear spaces ...
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