## Linear Operators: General theory |

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Page 781

(

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 794

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 811

(

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

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad domain elements equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math mean measure space metric space neighborhood norm operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology transformations u-integrable u-measurable uniformly union unique unit valued vector weak zero