Frolík, Zdeněk (ed.) [Balcar, B.; Franěk, F.; Börger, Reinhard; Dierolf, Peter; Voigt, Jürgen; Grzegorek, E.; Gząślewicz, R.; Hofmann, Gerald; Janicka, L.; Kulpa, W.; Kürsten, K. D.; van Mill, Jan; Pelczyński, A.; Pol, R.; Preiss, D.; Kotecký, R.; Reiterman, J.; Rödl, Vojtěch; Rosický, Jiří; Schachermayer, Walter; Topsøe, Flemming; Vilimovskiý, J.; de Vries, Jan; Whitfield, M.; Zahradník, M.; Zajíček, L.; Thomas, E. G. F.] Seventh winter school on abstract analysis. Abstracts of papers presented at the winter school on abstract analysis held in Strážné, Krkonoše, Czech Republic, January 26 – February 10, 1979. (English) Zbl 0564.46002 Prague: Czechoslovak Academy of Sciences, Mathematical Institute. II, 108 p. (1979). Contents: B. Balcar und F. Franěk, Independent families on complete Boolean algebras (pp. 10-14); Reinhard Börger, A generalization of component categories (pp. 15-18); Peter Dierolf und Jürgen Voigt, Convolution and \({\mathcal S}'\)-convolution of distributions (p. 19); E. Grzegorek, On sets always of the first category (pp. 20-24); R. Gząślewicz, Some extreme contractions on \(\ell_ p\)-spaces (pp. 25-27); Gerald Hofmann, On the existence problem in the algebraic approach to quantum field theory (pp. 28-32); L. Janicka, Radon-Nikodym type properties for Banach spaces (pp. 33-39); W. Kulpa, Some remarks on paracompactness of GO-spaces (pp. 40-41); K. D. Kürsten, On countability of the spectrum of Banach space valued weakly almost-periodic functions (pp. 42- 43); Jan van Mill, On the existence of weak P-points in compact F- spaces (pp. 44-47); A. Pelczyński, Commutative harmonic analysis and Banach spaces (pp. 48-52); R. Pol, Sifting infinite-dimensional compacta by the Lusin sieve (pp. 53-57); D. Preiss, Invalid Vitali theorems (pp. 58-60); D. Preiss and R. Kotecky, Markoff property of generalized random fields (pp. 61-66); J. Reiterman and V. Rödl, On nonzero-dimensional atoms (pp. 67-68); Jiří Rosický, Model theoretic approach to topological functions. II (pp. 69-72); Walter Schachermayer, Weak compactness implies strong compactness in the space of uniform measures (pp. 73-78); Flemming Topsøe, On the geometrical structure of Lebesgue nullsets (pp. 79-87); J. Vilimovský, The inner structure of real extensors in uniform spaces (pp. 88-91); Jan de Vries, On the existence of G-compactifications (pp. 92-94); J. H. M. Whitfield, Rough and strongly rough norms on Banach spaces (pp. 95-99); M. Zahradník, A note on measurability of trajectories of a stochastic process (pp. 100-103) L. Zajíček, The singlevaluedness and differentiation of metric projections (pp. 104-105); E. G. F. Thomas, Integral representations in convex cones (pp. 106-108). MSC: 46-06 Proceedings, conferences, collections, etc. pertaining to functional analysis 54-06 Proceedings, conferences, collections, etc. pertaining to general topology 28-06 Proceedings, conferences, collections, etc. pertaining to measure and integration 47-06 Proceedings, conferences, collections, etc. pertaining to operator theory 00B25 Proceedings of conferences of miscellaneous specific interest Keywords:Abstract analysis; Winter school; Prague; Boolean algebras; convolution of distributions; first category; extreme contractions; algebraic approach to quantum field theory; Radon-Nikodym type properties; paracompactness of GO-spaces; Banach space valued weakly almost-periodic functions; weak P-points in compact F-spaces; Commutative harmonic analysis; Lusin sieve; Invalid Vitali theorems; Markoff property of generalized random fields; nonzero-dimensional atoms; compactness in the space of uniform measures; Lebesgue nullsets; extensors in uniform spaces; G-compactifications; rough norms on Banach spaces; measurability of trajectories of a stochastic process; differentiation of metric projections; Integral representations PDFBibTeX XML Full Text: Link