A Multiparameter Strongly Superadditive Ergodic Theorem.
R. Emilion, B. Hachem (1985)
Mathematische Zeitschrift
F. Cholewinski, D. Haimo, A. Nussbaum (1970)
Studia Mathematica
Bernardo López Melero (1982)
Studia Mathematica
Lucchetti, Roberto, Pasquale, Angela (1994)
Journal of Convex Analysis
Hans Triebel (2005)
Revista Matemática Complutense
E. H. El Abdalaoui, F. Parreau, A. A. Prikhod'ko (2006)
Annales de l'I.H.P. Probabilités et statistiques
A. M. Vershik (1989)
Banach Center Publications
S. Ng (1991)
Fundamenta Mathematicae
Kelley's Theorem is a purely combinatorial characterization of measure algebras. We first apply linear programming to exhibit the duality between measures and this characterization for finite algebras. Then we give a new proof of the Theorem using methods from nonstandard analysis.
Mankiewicz, P. (1976)
Abstracta. 4th Winter School on Abstract Analysis
Michel Talagrand (1984)
Mathematica Scandinavica
L. Drewnowski, I. Labuda (1981)
Colloquium Mathematicae
Paolo de Lucia, Pedro Morales (1992)
Studia Mathematica
It is shown that every monocompact submeasure on an orthomodular poset is order continuous. From this generalization of the classical Marczewski Theorem, several results of commutative Measure Theory are derived and unified.
Josef Štěpán (1984)
Commentationes Mathematicae Universitatis Carolinae
Dalibor Volný (1987)
Commentationes Mathematicae Universitatis Carolinae
Miroslav Krutina (1990)
Kybernetika
Jacek Jachymski (2005)
Studia Mathematica
We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.
Guy David, Marie Snipes (2013)
Analysis and Geometry in Metric Spaces
We give a non-probabilistic proof of a theorem of Naor and Neiman that asserts that if (E, d) is a doubling metric space, there is an integer N > 0, depending only on the metric doubling constant, such that for each exponent α ∈ (1/2; 1), one can find a bilipschitz mapping F = (E; dα ) ⃗ ℝ RN.
T. Downarowicz, Y. Lacroix (1996)
Studia Mathematica
Given an arbitrary countable subgroup of the torus, containing infinitely many rationals, we construct a strictly ergodic 0-1 Toeplitz flow with pure point spectrum equal to . For a large class of Toeplitz flows certain eigenvalues are induced by eigenvalues of the flow Y which can be seen along the aperiodic parts.
M. Capinski, N.J. Cutland (1994)
Monatshefte für Mathematik
K. Krzyżewski (2000)
Colloquium Mathematicae
We give a necessary and sufficient condition for the solvability of a generalized cohomology equation, for an ergodic endomorphism of a probability measure space, in the space of measurable complex functions. This generalizes a result obtained in [7].