## Linear Operators: General theory |

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Page 143

... u - integrable function , etc . , do not change

defined on £ * . This is because these expressions refer to equivalence classes of

functions differing by a u - null function rather than the functions themselves .

... u - integrable function , etc . , do not change

**meaning**when u is regarded asdefined on £ * . This is because these expressions refer to equivalence classes of

functions differing by a u - null function rather than the functions themselves .

Page 379

7

less meaningless 4 . 6 13 . 37 13 . 39 13 . 45 11 . 1 13 . 47 Strongly Compact

Sets 13 . 37 6 . 29 4 . 7 Weakly Compact Sets

37 13 .

7

**meaning**- | meaningless less Reflexivity yes no 13 . 37 no 13 . 38**meaning**-less meaningless 4 . 6 13 . 37 13 . 39 13 . 45 11 . 1 13 . 47 Strongly Compact

Sets 13 . 37 6 . 29 4 . 7 Weakly Compact Sets

**meaning**- less meaningless 13 .37 13 .

Page 555

... ( T ) = in which f is an analytic scalar function and C is an appropriately chosen

contour . In giving a

questions concerning the existence of , and properties of the function ( 21 – T ) - 1

.

... ( T ) = in which f is an analytic scalar function and C is an appropriately chosen

contour . In giving a

**meaning**to this formula we are naturally led to the study ofquestions concerning the existence of , and properties of the function ( 21 – T ) - 1

.

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### Contents

Metric Spaces | 19 |

Convergence and Uniform Convergence of Generalized | 26 |

Exercises | 33 |

Copyright | |

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Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex 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