Linear Operators: Spectral theory |
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Page 1816
On a class of linear equations with symmetrizable operators . Doklady Akad . Nauk SSSR ( N. S. ) 91 , 1023-1026 ( 1953 ) . ( Russian ) Math . Rev. 15 , 881 ( 1954 ) . 3 . On the theory of symmetrizable operators with polynomial ...
On a class of linear equations with symmetrizable operators . Doklady Akad . Nauk SSSR ( N. S. ) 91 , 1023-1026 ( 1953 ) . ( Russian ) Math . Rev. 15 , 881 ( 1954 ) . 3 . On the theory of symmetrizable operators with polynomial ...
Page 1851
( 2 ) 52 , 293-308 ( 1950 ) . 6 . Absolutely continuous functions in vector spaces . ( Abstract ) Bull . Amer . Math . Soc . 45 , 677 ( 1939 ) . 7 . Differentiation in Banach spaces . Duke Math . J. 5 , 254–269 ( 1939 ) . 8 . Linear ...
( 2 ) 52 , 293-308 ( 1950 ) . 6 . Absolutely continuous functions in vector spaces . ( Abstract ) Bull . Amer . Math . Soc . 45 , 677 ( 1939 ) . 7 . Differentiation in Banach spaces . Duke Math . J. 5 , 254–269 ( 1939 ) . 8 . Linear ...
Page 1912
( See also Functional ) Linear manifold , ( 36 ) . ( See also Manifold ) Linear operator , ( 36 ) . ( See also Bspace ) Linear space , 1.11 normed , II.3.1 ( 59 ) . ( See also Bspace ) topological , II.1.1 ( 49 ) Linear transformation ...
( See also Functional ) Linear manifold , ( 36 ) . ( See also Manifold ) Linear operator , ( 36 ) . ( See also Bspace ) Linear space , 1.11 normed , II.3.1 ( 59 ) . ( See also Bspace ) topological , II.1.1 ( 49 ) Linear transformation ...
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Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
Copyright | |
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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero