Linear Operators: Spectral theory |
From inside the book
Results 1-3 of 45
Page 1782
... spaces X1 , . . . , X is a linear topologi- cal space , then the direct sum X , with the product topology ( cf.I.8 ) , is also a linear topological space in which the subspace M , is topologically as well as algebraically equivalent to X ,.
... spaces X1 , . . . , X is a linear topologi- cal space , then the direct sum X , with the product topology ( cf.I.8 ) , is also a linear topological space in which the subspace M , is topologically as well as algebraically equivalent to X ,.
Page 1787
... linear functional equations in locally convex spaces . Studia Math . 13 , 194-207 ( 1953 ) . Mean ergodic theorem in locally convex linear topological spaces . Studia Math . 13 , 190-193 ( 1953 ) . The Fredholm theory of linear ...
... linear functional equations in locally convex spaces . Studia Math . 13 , 194-207 ( 1953 ) . Mean ergodic theorem in locally convex linear topological spaces . Studia Math . 13 , 190-193 ( 1953 ) . The Fredholm theory of linear ...
Page 1921
... space of a B - algebra , IX.2.7 ( 869 ) Sturm - Liouville operator , XIII.2 ( 1291 ) , XIII.9.F ( 1550 ) Subadditive function , definition , ( 618 ) Subbase for a topology , I.4.6 ( 10 ) criterion for , 1.4.8 ( 11 ) Subspace , of a linear ...
... space of a B - algebra , IX.2.7 ( 869 ) Sturm - Liouville operator , XIII.2 ( 1291 ) , XIII.9.F ( 1550 ) Subadditive function , definition , ( 618 ) Subbase for a topology , I.4.6 ( 10 ) criterion for , 1.4.8 ( 11 ) Subspace , of a linear ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
Copyright | |
45 other sections not shown
Other editions - View all
Common terms and phrases
A₁ adjoint extension adjoint operator algebra analytic B-algebra Borel set boundary conditions boundary values bounded operator C₁ closed closure coefficients compact operator complex numbers continuous function converges Corollary countably deficiency indices Definition denote dense eigenfunctions eigenvalues element equation essential spectrum Exercise exists f₁ finite dimensional follows from Lemma follows from Theorem formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator homomorphism identity inequality infinity integral interval kernel L₁ L₁(R L₂ L₂(I L₂(R Lemma Let f linearly independent mapping matrix measure neighborhood non-zero norm operators in Hilbert orthogonal Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence shows solution spectral set spectral theorem square-integrable subset subspace Suppose T₁ T₂ theory To(t topology tr(T transform uniformly unique unitary vanishes vector zero