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

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Page 1835

(

1951 ) . 2 . Expansions in characteristic functions of differential equations of the

second order . Gosudarstv . Izdat . Tehn . Teor . Lit. , Moscow - Leningrad , 1950 .

(

**Russian**) Math . Rev. 11 , 116 ( 1950 ) . Amer . Math . Soc . Translation no . 59 (1951 ) . 2 . Expansions in characteristic functions of differential equations of the

second order . Gosudarstv . Izdat . Tehn . Teor . Lit. , Moscow - Leningrad , 1950 .

Page 1848

7. Self - adjoint extensions of the second kind of a symmetric operator . Izvestiya

Akad . Nauk SSSR 4 , 53-104 ( 1940 ) . (

2 , 104 ( 1941 ) . 8 . Spectral functions of a symmetric operator . Izvestiya Akad .

7. Self - adjoint extensions of the second kind of a symmetric operator . Izvestiya

Akad . Nauk SSSR 4 , 53-104 ( 1940 ) . (

**Russian**. English summary ) Math . Rev.2 , 104 ( 1941 ) . 8 . Spectral functions of a symmetric operator . Izvestiya Akad .

Page 1865

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operators with infinite deficiency indices and their orthogonal extensions .

Doklady Akad . Nauk SSSR ( N. S. ) 87 , 11-14 ( 1952 ) . (

14 , 882 ( 1953 ) ...

(

**Russian**. English summary ) Math . Rev. 6 , 276 ( 1945 ) . 15 . Isometricoperators with infinite deficiency indices and their orthogonal extensions .

Doklady Akad . Nauk SSSR ( N. S. ) 87 , 11-14 ( 1952 ) . (

**Russian**) Math . Rev.14 , 882 ( 1953 ) ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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additive adjoint operator 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