Linear Operators: Spectral theory |
From inside the book
Results 1-3 of 45
Page 1809
... Proc . Nat . Acad . Sci . U.S.A. 36 , 35-40 ( 1950 ) . Fukamiya , M. ( see also Yosida , K. ) 1. On dominated ergodic theorems in L , ( p ≥ 1 ) . Tôhoku Math . J. 46 , 150-153 ( 1939 ) . 2 . On B * -algebras . Proc . Japan Acad . 27 ...
... Proc . Nat . Acad . Sci . U.S.A. 36 , 35-40 ( 1950 ) . Fukamiya , M. ( see also Yosida , K. ) 1. On dominated ergodic theorems in L , ( p ≥ 1 ) . Tôhoku Math . J. 46 , 150-153 ( 1939 ) . 2 . On B * -algebras . Proc . Japan Acad . 27 ...
Page 1845
... Proc . Imp . Acad . Tokyo 18 , 333-335 ( 1942 ) . Nakamura , M. , and Umegaki , H. 1. A remark on theorems of Stone and Bochner . Proc . Japan Acad . 27 , 506–507 ( 1951 ) . Nakano , H. 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . Topology and ...
... Proc . Imp . Acad . Tokyo 18 , 333-335 ( 1942 ) . Nakamura , M. , and Umegaki , H. 1. A remark on theorems of Stone and Bochner . Proc . Japan Acad . 27 , 506–507 ( 1951 ) . Nakano , H. 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . Topology and ...
Page 1879
... Proc . Imp . Acad . Tokyo 17 , 121–124 ( 1941 ) . Vector lattices and additive set functions . Proc . Imp . Acad . Tokyo 17 , 228-232 ( 1941 ) . On the unitary equivalence in general Euclidean space . Proc . Japan Acad . 22 , 242-245 ...
... Proc . Imp . Acad . Tokyo 17 , 121–124 ( 1941 ) . Vector lattices and additive set functions . Proc . Imp . Acad . Tokyo 17 , 228-232 ( 1941 ) . On the unitary equivalence in general Euclidean space . Proc . Japan Acad . 22 , 242-245 ...
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