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The space of functions of bounded variation and certain general spaces. Trans.
Amer. Math. Soc. 40, 421-438 (1936). Adams, C. R., and Clarkson, J. A. 1 . On
definitions of bounded variation for functions of two variables. Trans. Amer. Math.
The space of functions of bounded variation and certain general spaces. Trans.
Amer. Math. Soc. 40, 421-438 (1936). Adams, C. R., and Clarkson, J. A. 1 . On
definitions of bounded variation for functions of two variables. Trans. Amer. Math.
Page 797
Trans. Amer. Math. Soc. 44, 277-304 (1938 ). 5. On continuity and openness of
homomorphisms in topological groups. Ann. of Math. (2) 52, 293-308 (1950). 6.
Absolutely continuous functions in vector spaces. (Abstract) Bull. Amer. Math. Soc
.
Trans. Amer. Math. Soc. 44, 277-304 (1938 ). 5. On continuity and openness of
homomorphisms in topological groups. Ann. of Math. (2) 52, 293-308 (1950). 6.
Absolutely continuous functions in vector spaces. (Abstract) Bull. Amer. Math. Soc
.
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8. Boundedness properties in function-lattices. Canadian J. Math. 1, 176-186 (
1949). 9. The theory of representations for Boolean algebras. Trans. Amer. Math.
Soc. 40, 37-111 (1936). 10. Linear transformations in Hilbert space, I— III. I. Proe.
8. Boundedness properties in function-lattices. Canadian J. Math. 1, 176-186 (
1949). 9. The theory of representations for Boolean algebras. Trans. Amer. Math.
Soc. 40, 37-111 (1936). 10. Linear transformations in Hilbert space, I— III. I. Proe.
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries 84 | 34 |
Copyright | |
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Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence closed unit sphere compact Hausdorff space compact operator complex numbers contains continuous functions convex set Corollary countably additive Definition denote dense differential equations Doklady Akad Duke Math element equivalent exists finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral interval isometric isomorphism Lemma linear map linear operator linear topological space LP(S measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space null set open set operator topology positive measure space Proc properties proved real numbers reflexive Riesz Russian scalar semi-group sequentially compact Show simple functions subset subspace Suppose theory TM(S topological space Trans valued function Vber vector space weak topology weakly compact weakly sequentially compact zero