Linear Operators, Part 2Interscience Publishers, 1963 - Algebra, Universal |
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Page 1856
... Banach algebras . Ann . of Math . ( 2 ) 51 , 615-628 ( 1950 ) . Representation of certain Banach algebras on Hilbert space . Duke Math . J. 18 , 27-39 ( 1951 ) . On spectral permanence for certain Banach algebras . Proc . Amer . Math ...
... Banach algebras . Ann . of Math . ( 2 ) 51 , 615-628 ( 1950 ) . Representation of certain Banach algebras on Hilbert space . Duke Math . J. 18 , 27-39 ( 1951 ) . On spectral permanence for certain Banach algebras . Proc . Amer . Math ...
Page 1864
... Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1 ... Banach spaces . Doklady Akad . Nauk SSSR ( N. S. ) 22 , 471–473 ( 1939 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 ...
... Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1 ... Banach spaces . Doklady Akad . Nauk SSSR ( N. S. ) 22 , 471–473 ( 1939 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 ...
Page 1869
... Banach spaces whose elements are analytic functions . Actas Acad . Ci . Lima 12 , 31-43 ( 1949 ) . Weak convergence in the space Ho . Duke Math . J. 17 , 409-418 ( 1950 ) . New proofs of some theorems of Hardy by Banach space methods ...
... Banach spaces whose elements are analytic functions . Actas Acad . Ci . Lima 12 , 31-43 ( 1949 ) . Weak convergence in the space Ho . Duke Math . J. 17 , 409-418 ( 1950 ) . New proofs of some theorems of Hardy by Banach space methods ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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Acad adjoint extension adjoint operator algebra Amer analytic B-algebra B*-algebra Banach Banach spaces Borel set boundary conditions boundary values bounded operator C₁ closed closure Co(I coefficients complex numbers continuous function converges Corollary deficiency indices Definition denote dense differential equations Doklady Akad domain eigenfunctions eigenvalues element essential spectrum exists follows from Lemma follows immediately formal differential operator formally self adjoint formula function f Haar measure Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval isometric isomorphism kernel L₁(R L₂(I L₂(R Lemma Let f linearly independent mapping Math matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal positive Proc PROOF prove real axis satisfies sequence singular solution spectral spectral theory square-integrable subspace Suppose T₁ T₂ theory To(t topology transform unique unitary vanishes vector zero