Linear Operators: General theory |
From inside the book
Results 1-3 of 40
Page 15
... normal space , if it has the properties ( a ) , ( d ) . ( a ) Sets consisting of single points are closed . ( b ) For every pair of distinct points x and y , there are disjoint neighborhoods of x and y . ( c ) For every closed set A ...
... normal space , if it has the properties ( a ) , ( d ) . ( a ) Sets consisting of single points are closed . ( b ) For every pair of distinct points x and y , there are disjoint neighborhoods of x and y . ( c ) For every closed set A ...
Page 35
... normal , the right coset Ax is the same as the left coset xA . It is clear that the cosets of a normal subgroup A form a group under the operation ( Ax ) ( Ay ) = Axy . This group of cosets of A is called the quotient group , or factor ...
... normal , the right coset Ax is the same as the left coset xA . It is clear that the cosets of a normal subgroup A form a group under the operation ( Ax ) ( Ay ) = Axy . This group of cosets of A is called the quotient group , or factor ...
Page 850
... Normal operator , in a finite dimen- sional space , VII.2.14 ( 563 ) Normal structure , definition , V.11.14 ( 459 ) properties , V.11.15-18 ( 459 ) Normal subgroup , ( 35 ) Normal topological space , compact Hausdorff space , I.5.9 ...
... Normal operator , in a finite dimen- sional space , VII.2.14 ( 563 ) Normal structure , definition , V.11.14 ( 459 ) properties , V.11.15-18 ( 459 ) Normal subgroup , ( 35 ) Normal topological space , compact Hausdorff space , I.5.9 ...
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
80 other sections not shown
Other editions - View all
Common terms and phrases
A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element ergodic exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear manifold linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ