Linear Operators: General theory |
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Page 13
... semi-algebraic geometry, Cambridge Univ. Press, 1979. [6] STEINBERG, S.A.: 'Radical theory in lattice-ordered rings', Symp. Mat Ist. Naz. Alta Mat. 21 (1977) ... GROUP semi-group is commutative; their structure is completely described. 13.
... semi-algebraic geometry, Cambridge Univ. Press, 1979. [6] STEINBERG, S.A.: 'Radical theory in lattice-ordered rings', Symp. Mat Ist. Naz. Alta Mat. 21 (1977) ... GROUP semi-group is commutative; their structure is completely described. 13.
Page 189
... semi- group of operators , Semigroup Forum 43 , 378-394 ( 1991 ) . [ Ne5 ] J.M.A.M. van Neerven , The norm of a complex Banach lattice , preprint . [ Ne6 ] J.M.A.M. van Neerven , Abstract multiplication semigroups , submitted . [ Ne7 ] ...
... semi- group of operators , Semigroup Forum 43 , 378-394 ( 1991 ) . [ Ne5 ] J.M.A.M. van Neerven , The norm of a complex Banach lattice , preprint . [ Ne6 ] J.M.A.M. van Neerven , Abstract multiplication semigroups , submitted . [ Ne7 ] ...
Page 265
... semi - groups ( in which all elements are positive ) , integral totally ordered semi - groups ( in which x2 < x for all x ) . Every Archimedean naturally totally ordered ORDERED SEMI - GROUP semi - group is commutative ; 265.
... semi - groups ( in which all elements are positive ) , integral totally ordered semi - groups ( in which x2 < x for all x ) . Every Archimedean naturally totally ordered ORDERED SEMI - GROUP semi - group is commutative ; 265.
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