Pathological Linear Spaces and Submeasures.
N.J. Kaiton, James W. Roberts (1983)
Mathematische Annalen
Jan Mařík (1958)
Časopis pro pěstování matematiky
Jozef Dravecký (1985)
Mathematica Slovaca
R. Daniel Mauldin (1982)
Colloquium Mathematicae
Staples, Susan G., Ward, Lesley A. (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
Claude TRICOT (1982/1983)
Seminaire de Théorie des Nombres de Bordeaux
Martin Sleziak, Miloš Ziman (2009)
Acta Mathematica Universitatis Ostraviensis
We investigate some properties of density measures – finitely additive measures on the set of natural numbers extending asymptotic density. We introduce a class of density measures, which is defined using cluster points of the sequence as well as cluster points of some other similar sequences. We obtain range of possible values of density measures for any subset of . Our description of this range simplifies the description of Bhashkara Rao and Bhashkara Rao [Bhaskara Rao, K. P. S., Bhaskara Rao,...
Vladimír Rogalewicz (1984)
Časopis pro pěstování matematiky
Saksman, Eero (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
Vlad, Carmen (1999)
International Journal of Mathematics and Mathematical Sciences
Miloslav Jůza (1982)
Časopis pro pěstování matematiky
Miroslav Dont, Josef, Jr. Král (2003)
Mathematica Bohemica
With help of suitable anisotropic Minkowski’s contents and Hausdorff measures some results are obtained concerning removability of singularities for solutions of partial differential equations with anisotropic growth in the vicinity of the singular set.
Miroslav Chlebik, Josef Král (1994)
Aequationes mathematicae
Miroslav Chlebik, Josef Král (1994)
Aequationes mathematicae
Zbigniew Lipecki (2009)
Colloquium Mathematicae
With an additive function φ from a Boolean ring A into a normed space two positive functions on A, called semivariations of φ, are associated. We characterize those functions as submeasures with some additional properties in the general case as well as in the cases where φ is bounded or exhaustive.
V. Mandrekar, M. Nadkarni, D. Patil (1970)
Studia Mathematica
Romanov, A. S. (2003)
Sibirskij Matematicheskij Zhurnal
Traina, Charles (1999)
International Journal of Mathematics and Mathematical Sciences
P. Erdös, Kenneth Kunen, R. Mauldin (1981)
Fundamenta Mathematicae
Bandt, Christoph (1978)
Abstracta. 6th Winter School on Abstract Analysis