Linear Operators: General theory |
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Page 746
... Banach space . Trans . Amer . Math . Soc . 69 , 105-131 ( 1950 ) . Branch points of solutions of equations in Banach ... spaces . Duke Math . J. 8 , 763–770 ( 1941 ) . Reflexive Banach spaces not isomorphic to uniformly convex spaces ...
... Banach space . Trans . Amer . Math . Soc . 69 , 105-131 ( 1950 ) . Branch points of solutions of equations in Banach ... spaces . Duke Math . J. 8 , 763–770 ( 1941 ) . Reflexive Banach spaces not isomorphic to uniformly convex spaces ...
Page 791
... spaces of continuous functions over a compact space . Amer . J. Math . 71 , 701-705 ( 1949 ) . A theorem of the Hahn - Banach ... spaces and of functions on uniform spaces . Osaka Math . J. 1 , 166-181 ( 1949 ) . Nagumo , M. 1. Einige ...
... spaces of continuous functions over a compact space . Amer . J. Math . 71 , 701-705 ( 1949 ) . A theorem of the Hahn - Banach ... spaces and of functions on uniform spaces . Osaka Math . J. 1 , 166-181 ( 1949 ) . Nagumo , M. 1. Einige ...
Page 804
... Banach spaces . Duke Math . J. 15 , 421-431 ( 1948 ) . 7. Mapping degree in Banach spaces and spectral theory . Math . Z. 63 , 195-218 ( 1955 ) . Rubin , H. , and Stone , M. H. 1 . Postulates for generalizations of Hilbert space . Proc ...
... Banach spaces . Duke Math . J. 15 , 421-431 ( 1948 ) . 7. Mapping degree in Banach spaces and spectral theory . Math . Z. 63 , 195-218 ( 1955 ) . Rubin , H. , and Stone , M. H. 1 . Postulates for generalizations of Hilbert space . Proc ...
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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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