Christensen, J. P. R.; Pachl, J. K. Measurable functionals on function spaces. (English) Zbl 0437.46022 Ann. Inst. Fourier 31, No. 2, 137-152 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 46E10 Topological linear spaces of continuous, differentiable or analytic functions 43A07 Means on groups, semigroups, etc.; amenable groups 46E27 Spaces of measures 54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) Keywords:measurable functional; function space; countably additive measure; Radon measure; K-analytic space; invariant functional; weak sequential completeness of spaces of measures PDFBibTeX XMLCite \textit{J. P. R. Christensen} and \textit{J. K. Pachl}, Ann. Inst. Fourier 31, No. 2, 137--152 (1981; Zbl 0437.46022) Full Text: DOI Numdam EuDML References: [1] [8] and , [2] [2] and , Uniform measures and co-Saks spaces, Proc. Internat. Seminar Functional Analysis, Rio de Janeiro 1978. · Zbl 0462.46014 [3] [3] , Property Γ and inner amenability, Proc. Amer. Math. Soc., 47 (1975), 483-486. · Zbl 0321.22011 [4] [4] , Four functors into paved spaces, Seminar Uniform Spaces 1973-1974, Math. Inst. Czechoslovak Academy of Sciences, 1975. · Zbl 0369.54012 [5] [5] , Mesures uniformes, C.R. Acad. Sc., Paris, 277 (1973), A105-A108. · Zbl 0285.46040 [6] [6] , A survey of separable descriptive theory of sets and spaces, Czechoslovak Math. J., 20 (95) (1970), 406-467. · Zbl 0223.54028 [7] [7] , On amenable semigroups with a finite-dimensional set of invariant means I, Illinois J. Math., 7 (1963), 38-48. · Zbl 0113.09801 [8] [8] , On left amenable semigroups which admit countable left invariant means, Bull. Amer. Math. Soc., 69 (1963), 101-105. · Zbl 0202.40702 [9] [9] , Exposed points of convex sets and weak sequential convergence, Memoirs Amer. Math. Soc., 123 (1972). · Zbl 0258.46001 [10] [10] , Invariant Means on Topological Groups, Van Nostrand 1969. · Zbl 0174.19001 [11] [11] , Uniform Spaces, Amer. Math. Soc., 1964. · Zbl 0124.15601 [12] [12] , On the dimension of left invariant means and left thick subsets, Trans. Amer. Math. Soc., 231 (1977), 507-518. · Zbl 0371.43005 [13] [13] , On certain actions of semi-groups on L-spaces, Stud. Math., 29 (1967), 63-77. · Zbl 0232.22009 [14] [14] , Cartesian products of Baire spaces, Fund. Math., 49 (1961), 157-166. · Zbl 0113.16402 [15] [15] , Measures as functionals on uniformly continuous functions, Pacific J. Math., 82 (1979), 515-521. · Zbl 0419.28006 [16] [16] , Räume von stetigen Funktionen und summenstetige Abbildungen, Ludwig-Maximilians-Universität München, 1978. [17] [17] , Espaces de Banach faiblement K-analytiques, C.R. Acad. Sc., Paris, 284 (1977), A 745-748. · Zbl 0349.46018 [18] [18] , Measures on topological spaces (Russian), Mat. Sbornik, 55 (97) (1961), 33-100. - Amer. Math. Soc. Transl., (2) 48 (1965), 161-228. · Zbl 0152.04202 [19] [19] , l1-continuous partitions of unity on normed spaces, Czechoslovak Math. J., 26 (101) (1976), 319-329. · Zbl 0333.46007 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.