Linear Operators: General theory |
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Page 743
... Amer . J. Math . 78 , 310–320 ( 1956 ) . Calkin , J. W. 1 . 2 . Abstract symmetric boundary conditions . Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert ...
... Amer . J. Math . 78 , 310–320 ( 1956 ) . Calkin , J. W. 1 . 2 . Abstract symmetric boundary conditions . Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert ...
Page 762
... Amer . J. Math . 69 , 193–199 ( 1947 ) . 2. On the essential spectra of symmetric operators in Hilbert space . Amer . J. Math . 75 , 229-240 ( 1953 ) . 3. The L - solutions of linear differential equations of second order . Duke Math ...
... Amer . J. Math . 69 , 193–199 ( 1947 ) . 2. On the essential spectra of symmetric operators in Hilbert space . Amer . J. Math . 75 , 229-240 ( 1953 ) . 3. The L - solutions of linear differential equations of second order . Duke Math ...
Page 763
... Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1. The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2. The gaps in the essential spectra of wave ...
... Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1. The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2. The gaps in the essential spectra of wave ...
Contents
B Topological Preliminaries | 10 |
Metric Spaces | 23 |
Product Spaces | 31 |
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 compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense differential equations Doklady Akad Duke Math E₁ elements ergodic exists extension f₁ function defined function f Hausdorff space Hence Hilbert space homomorphism inequality 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 o-field 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 theory topological space u-integrable u-measurable u-null uniformly unit sphere valued function vector space weakly compact zero ΕΕΣ