## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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Page 1751

TT 1 Σ 9 k = 0 i 20 differentiable m -

TT 1 Σ 9 k = 0 i 20 differentiable m -

**vector**valued functions defined in C . Similarly , Ĉ O ( CZ ) and ( C ) will denote the subspaces of Ĉ ( C ) consisting of all functions which are multiply periodic of period 29 and of all ...Page 1837

Bicontinuous linear transformations in certain

Bicontinuous linear transformations in certain

**vector**spaces . Bull . Amer . Math . Soc . 45 , 564-569 ( 1939 ) . 2 . On a calculus of operators in reflexive**vector**spaces . Trans . Amer . Math . Soc . 45 , 217–234 ( 1939 ) . 3 .Page 1849

Compact metric Boolean algebras and

Compact metric Boolean algebras and

**vector**lattices . J. Sci . Hirosima Univ . Ser . A. 11 , 125--128 ( 1942 ) . 2 . On Fréchet lattices , I. J. Sci . Hirosima Univ . Ser . A. 12 , 235-248 ( 1943 ) . ( Japanese ) Math . Rev.### What people are saying - Write a review

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additive adjoint operator algebra analytic assume B-algebra basis belongs Borel set boundary conditions boundary values bounded called clear closed closure commutative compact complex Consequently consider constant contains converges Corollary corresponding defined Definition denote dense determined eigenvalues element equal equation Exercise exists extension fact finite dimensional follows formal formal differential operator formula function function f given Hence Hilbert space Hilbert-Schmidt ideal identity independent inequality integral interval isometric isomorphism Lemma limit linear matrix measure multiplicity neighborhood norm normal operator obtained orthonormal positive preceding present projection proof properties prove range regular representation respectively restriction result satisfies seen sequence shown shows solution spectral spectrum square-integrable statement subset subspace sufficient Suppose symmetric Theorem theory topology transform uniformly unique unit unitary vanishes vector zero