## Linear Operators: General theory |

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Page 776

(

and Vinogradov , A. A. 1. On a criterion of uniform convexity of a space of type B.

Uspehi Matem . Nauk 7 , no . 3 ( 49 ) 131-134 ( 1952 ) . (

(

**Russian**. Latvian summary ) Math . Rev. 15 , 440 ( 1954 ) . Kračkovskiş , S. N. ,and Vinogradov , A. A. 1. On a criterion of uniform convexity of a space of type B.

Uspehi Matem . Nauk 7 , no . 3 ( 49 ) 131-134 ( 1952 ) . (

**Russian**) Math . Rev.Page 777

(

theory . Mat . Sbornik N. S. 33 ( 75 ) , 597–626 ( 1953 ) . (

15 , 720 ( 1954 ) . 9 . The theory of self - adjoint extensions of semi - bounded ...

(

**Russian**) Math . Rev. 11 , 670 ( 1950 ) . 8. On the trace formula in perturbationtheory . Mat . Sbornik N. S. 33 ( 75 ) , 597–626 ( 1953 ) . (

**Russian**) Math . Rev.15 , 720 ( 1954 ) . 9 . The theory of self - adjoint extensions of semi - bounded ...

Page 794

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 .

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

80 other sections not shown

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### Common terms and phrases

Akad algebra Amer analytic applied arbitrary assume B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint domain element 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 o-field open set operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen 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