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Zbl 0564.46002

(Balcar, B.; Franěk, F.; Börger, Reinhard; Dierolf, Peter; Voigt, Jürgen; Grzegorek, E.; Gzaślewicz, 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 Prague, January 26 - February 10, 1979. (English)
[B] Prague: Czechoslovak Academy of Sciences, Mathematical Institute. II, 108 p. (1979).

Contents: {\it B. Balcar} und {\it F. Franěk}, Independent families on complete Boolean algebras (pp. 10-14); {\it Reinhard Börger}, A generalization of component categories (pp. 15-18); {\it Peter Dierolf} und {\it Jürgen Voigt}, Convolution and ${\cal S}'$-convolution of distributions (p. 19); {\it E. Grzegorek}, On sets always of the first category (pp. 20-24); {\it R. Gzaślewicz}, Some extreme contractions on $\ell\sb p$-spaces (pp. 25-27); {\it Gerald Hofmann}, On the existence problem in the algebraic approach to quantum field theory (pp. 28-32); {\it L. Janicka}, Radon-Nikodym type properties for Banach spaces (pp. 33-39); {\it W. Kulpa}, Some remarks on paracompactness of GO-spaces (pp. 40-41); {\it K. D. Kürsten}, On countability of the spectrum of Banach space valued weakly almost-periodic functions (pp. 42- 43); {\it Jan van Mill}, On the existence of weak P-points in compact F- spaces (pp. 44-47); {\it A. Pelczyński}, Commutative harmonic analysis and Banach spaces (pp. 48-52); {\it R. Pol}, Sifting infinite-dimensional compacta by the Lusin sieve (pp. 53-57); {\it D. Preiss}, Invalid Vitali theorems (pp. 58-60); {\it D. Preiss} and {\it R. Kotecky}, Markoff property of generalized random fields (pp. 61-66); {\it J. Reiterman} and {\it V. Rödl}, On nonzero-dimensional atoms (pp. 67-68); {\it Jiří Rosický}, Model theoretic approach to topological functions. II (pp. 69-72); {\it Walter Schachermayer}, Weak compactness implies strong compactness in the space of uniform measures (pp. 73-78); {\it Flemming Topsøe}, On the geometrical structure of Lebesgue nullsets (pp. 79-87); {\it J. Vilimovský}, The inner structure of real extensors in uniform spaces (pp. 88-91); {\it Jan de Vries}, On the existence of G-compactifications (pp. 92-94); {\it J. H. M. Whitfield}, Rough and strongly rough norms on Banach spaces (pp. 95-99); {\it M. Zahradník}, A note on measurability of trajectories of a stochastic process (pp. 100-103) {\it L. Zajíček}, The singlevaluedness and differentiation of metric projections (pp. 104-105); {\it E. G. F. Thomas}, Integral representations in convex cones (pp. 106-108).

MSC 2000:: *46-06 Proceedings of conferences (functional analysis)
54-06 Proceedings of conferences (general topology)
28-06 Proceedings of conferences (measure and integration)
47-06 Proceedings of conferences (operator theory)

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

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