Linear Operators: General theory |
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Page 156
... symmetric difference ( AE ) — AE of A and E. The fact that is an equivalence relation follows readily from the fact that the symmetric difference is a commutative and associative operation with 4 4 4 6. The set ( u ) of all equivalence ...
... symmetric difference ( AE ) — AE of A and E. The fact that is an equivalence relation follows readily from the fact that the symmetric difference is a commutative and associative operation with 4 4 4 6. The set ( u ) of all equivalence ...
Page 743
... symmetric boundary conditions . Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert space . Ann . of Math . ( 2 ) 42 , 839-873 ( 1941 ) . 3. Symmetric ...
... symmetric boundary conditions . Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert space . Ann . of Math . ( 2 ) 42 , 839-873 ( 1941 ) . 3. Symmetric ...
Page 813
... symmetric operator . Doklady Akad . Nauk SSSR ( N. S. ) 71 , 241–244 ( 1950 ) . ( Russian ) Math . Rev. 11 , 600 ( 1950 ) . Generalized resolvents of symmetric operators . Izvestiya Akad . Nauk SSSR Ser . Mat . 18 , 51-86 ( 1954 ) ...
... symmetric operator . Doklady Akad . Nauk SSSR ( N. S. ) 71 , 241–244 ( 1950 ) . ( Russian ) Math . Rev. 11 , 600 ( 1950 ) . Generalized resolvents of symmetric operators . Izvestiya Akad . Nauk SSSR Ser . Mat . 18 , 51-86 ( 1954 ) ...
Contents
Exercises | 9 |
Definitions and Basic Properties | 13 |
Metric Spaces | 19 |
Copyright | |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ ba(S Banach spaces Borel sets Cauchy sequence closed sets compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense disjoint Doklady Akad E₁ elements ergodic exists f₁ finite number follows function defined function f Hausdorff space Hence Hilbert space homomorphism integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz Russian S₁ scalar semi-group sequentially compact Show subset subspace Suppose Theorem theory topological space u-integrable u-measurable u-null uniformly unit sphere vector space weakly compact zero ΕΕΣ