## Linear Operators: Spectral theory |

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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

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

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

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

Akad .

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

(

operators with infinite deficiency indices and their orthogonal extensions .

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

. 14 , 882 ...

(

**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 ...

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

46 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

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 consider constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function 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