Zobrazeno 1 - 10
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pro vyhledávání: '"Panagiotis D. Stratigos"'
Autor:
Panagiotis D. Stratigos
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 16, Iss 1, Pp 23-32 (1993)
A lattice space is defined to be an ordered pair whose first component is an arbitrary set X and whose second component is an arbitrary lattice L of subsets of X. A lattice space is a generalization of a topological space. The concept of lattice norm
Externí odkaz:
https://doaj.org/article/5fe63a0896c248749e736ef0ac295dfe
Autor:
Panagiotis D. Stratigos
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 15, Iss 4, Pp 681-695 (1992)
We consider the general setting of A.D. Alexandroff, namely, an arbitrary set X and an arbitrary lattice of subsets of X, ℒ. 𝒜(ℒ) denotes the algebra of subsets of X generated by ℒ and MR(ℒ) the set of all lattice regular, (finitely additi
Externí odkaz:
https://doaj.org/article/720024b573bf4e7aa5f7961b0a4641a7
Publikováno v:
Proceedings of Indian National Science Academy, Vol 20, Iss 11 (2015)
ON THE RELATION OF LATTICE REPLETENESS AND C-REAL COMPACTNESS
Autor:
Panagiotis D. Stratigos
Publikováno v:
Journal of Mathematical Analysis and Applications. 166(1):84-102
A lattice space is defined to be an ordered pair whose first component is an arbitrary set X and whose second component is an arbitrary lattice L of subsets of X. A lattice space is a generalization of a topological space. The various concepts of lat
Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets
Autor:
Panagiotis D. Stratigos
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 19, Iss 3, Pp 461-472 (1996)
Consider any setX. A finitely subadditive outer measure onP(X)is defined to be a functionvfromP(X)toRsuch thatv(ϕ)=0andvis increasing and finitely subadditive. A finitely superadditive inner measure onP(X)is defined to be a functionpfromP(X)toRsuch
Autor:
Panagiotis D. Stratigos
Publikováno v:
Rocky Mountain J. Math. 22, no. 1 (1992), 377-386
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dddc00059d67208e016bf4a7ae0d0760
http://projecteuclid.org/euclid.rmjm/1181072816
http://projecteuclid.org/euclid.rmjm/1181072816
Publikováno v:
Canadian Journal of Mathematics. 33:1498-1525
Consider an arbitrary set X and an arbitrary disjunctive lattice of subsets of X, ℒ. The algebra of subsets of X generated by ℒ is denoted by , the set of all ℒ-regular measures on , by MR(ℒ), and the associated Wallman space, a compact T1 sp
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 10, Iss 4, Pp 707-724 (1987)
The present paper is mainly concerned with establishing conditions which .assure that all lattice regular measures have additional smoothness properties or that simply all two-valued such measures have such properties and are therefore Dirac measures
Publikováno v:
Journal of Mathematical Analysis and Applications. 99(2):472-493
We deal with the general concept of lattice repleteness. Specifically, we systematize the study of several important special cases of repleteness, namely, realcompactness, α-completeness, N-compactness, and Borel-completeness; we apply our general r
Publikováno v:
Annali di Matematica Pura ed Applicata. 138:379-397
In this paper, the principal role is played by the adjoint of a certain bounded linear mapping, whose domain and range are Banach spaces of lattice regular measures. First, the general properties of the adjoint are investigated and it is shown, in pa