A local Hahn–Banach theorem and its applications Article 16 January 2019 References Anger, B., Portenier, C.: Radon Integrals. PMM 103, Birkhäuser 1992. Google Scholar Anger, B., Portenier, C.: Radon Integrals and Riesz Representation. In: Proc. Conf. Measure Theory, Oberwolfach 1990....
The fundamental Riesz representation theorem concerning the representation of certain linear functionals is (among the basic theorems) one of the most useful results in modern analysis. It links analysis and measure theory and allows the application of measure theoretic methods (and language) in ...
JoeDiestel , Johanswart , in Handbook of Measure Theory, 2002 The Riesz Theorem and the Hahn-Banach theorem 411 2.1 The dual of the injective tensor product of two Banach spaces 411 2.2 Choquet's representation theorem 413 2.3 The Stone-Weierstrass theorem 417 2.4 The Pietsch domination theorem...
摘要: This paper main objective is to present the Riesz Representation Theorem and to collect some consequences of it for the separation problem in Hilbert spaces. Another theorem, important to the sequence of the paper, will also be presented and demonstrated. 被引量: 8 年份: 2011 收藏...
In this note,we point out that a version of Riesz's theorem on fuzzy number-valued fuzzy measure space,which is shown by Zhang [Fuzzy-Valued Measure Theoty,Tsinghua University Press,1998],is not valid,We give the correct form of the theorem.关键词: fuzzy number-valued fuzzy measurs strong...
, defined in terms of unitary representation theory; see remark 8.3 for details. in this sense, the above proposition 5.1 can be thought of as an \(l^p\) fourier multiplier theorem for the group fourier transform on g . in order to prove theorem 1.1 , we intend to apply proposition ...
数集值序下鞅的Riesz分解定理,然后利用连续参数集值序下鞅的Riesz分解定理,获得连续参数集值序 下鞅的收敛性定理. 1预备知识 设X是可分Banach空间,其对偶空间为X,记 P(X):{AcX:A≠j2『};P(X)一{A∈P.(X):A是有界(弱紧)闭(凸)集}. 对于A,B∈P(X),记 A+B={+y:∈A,∈B};A④B=cl(A+...
Let L be a a-Dedekind complete Riesz space. In (8), H. Nakano uses an extension of the multiplication operator on a Riesz space into itself (analagous to the closed operator on a Hilbert space) to obtain a representation space for the Riesz space L. He...
The aim of this article is to prove a representation theorem for orthogonally additive polynomials in the spirit of the recent theorem on representation of... A.,Ibort,P.,... - 《Revista Matemática Complutense》 被引量: 9发表: 2010年 On Factorization of Trigonometric Polynomials We give a ...
Book2002, Handbook of Measure Theory Martin Väth Explore book THEOREM 9 Let X be a Riesz space or an ideal in M(S,Y). Then each locally solid topology on X is determined by the family of continuous lattice pseudo-norms, i.e. for each point x ∈ X a neighborhood base is given by...