Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/on-the-lebesgue-decomposition-for-non-additive-functions-UHt6n0uyUe
References (32)
-
SS Holland (1970)
An $$m$$ m -orthocomplete orthomodular lattice is $$m$$ m -completeProc. Am. Math. Soc., 24
-
Zhenyuan Wang, G. Klir (2008)
Generalized Measure Theory -
The Lebesgue decomposition theorem on an orthomodular lattice . Measure theory ( Oberwolfach , 1990 ) -
P Lucia, A Dvurecenskij, E Pap (1996)
On a decomposition theorem and its applicationsMath. Jpn., 44
-
H König (2006)
The Lebesgue decomposition theorem for arbitrary contentsPositivity, 10
-
A. Simone (1998)
Decomposition theorems in orthomodular posets: The problem of uniqueness, 126
-
(2008)
Cafiero theorem for k-triangular functions on an orthomodular lattice -
E. Pap, E. Pap (1995)
Null-Additive Set Functions -
Elzbieta Madra, Adam Grabowski (2008)
Orthomodular Lattices, 16
-
V. Klimkin, T. Sribnaya (2003)
Uniform Continuity of a Family of Weakly Regular Set Functions on Topological SpacesMathematical Notes, 74
-
(1984)
Lattice Theory, vol -
S. Holland (1975)
The Current Interest in Orthomodular Lattices -
AB d’Andrea, P Lucia (1991)
On the Lebesgue decomposition of a function relative to a $$p$$ p -ideal of an orthomodular latticeMath. Slovaca, 41
-
G Birkhoff (1984)
Lattice Theory -
H. Merzendorfer (2005)
MODULAR FUNCTIONSJournal of Experimental Biology, 208
-
B. Riecan, T. Neubrunn (1997)
Integral, Measure, and Ordering -
P. Lucia, E. Pap (1996)
Lebesgue decomposition by σ-null-additive set functions using idealsRendiconti del Circolo Matematico di Palermo, 45
-
Paola Cavaliere, P. Lucia (2009)
SOME NEW RESULTS IN NON-ADDITIVE MEASURE THEORY, 13
-
Paola Cavaliere, P. Lucia, F. Ventriglia (2010)
On Drewnowski lemma for non-additive functions and its consequencesPositivity, 14
-
A. Dvurecenskij, De Paolo, E. Pap (1996)
ON A DECOMPOSITION THEOREM AND ITS APPLICATIONSMathematica japonicae, 44
-
F Ventriglia (2008)
Cafiero theorem for $$k$$ k -triangular functions on an orthomodular latticeRend. Acc. Sci. Fis. Mat. Napoli, 75
-
P Capek (1981)
Decomposition theorems in measure theoryMath. Slovaca, 31
-
S. Holland (1970)
An $m$-orthocomplete orthomodular lattice is $m$-complete, 24
-
P. Pták, S. Pulmannová (1991)
Orthomodular structures as quantum logics -
H. König, Heinz Onig
Universität Des Saarlandes Fachrichtung 6.1 – Mathematik the Lebesgue Decomposition Theorem for Arbitrary Contents the Lebesgue Decomposition Theorem for Arbitrary Contents the Lebesgue Decomposition Theorem for Arbitrary Contents Horst Tietz in Alter Freundschaft Gewidmet -
S. Weber (1984)
⊥-Decomposable measures and integrals for Archimedean t-conorms ⊥Journal of Mathematical Analysis and Applications, 101
-
H Weber (1996)
On modular functionsFunct. Approx. Comment. Math., 24
-
Paola Cavaliere, F. Ventriglia (2014)
On nonatomicity for non-additive functionsJournal of Mathematical Analysis and Applications, 415
-
V. Klimkin, T. Sribnaya (1997)
Convergence of a sequence of weakly regular set functionsMathematical Notes, 62
-
A. Simone, M. Navara (2001)
Yosida–Hewitt and Lebesgue Decompositions of States on Orthomodular PosetsJournal of Mathematical Analysis and Applications, 255
-
P. Lucia, P. Morales (1994)
Noncommutative decomposition theorems in Riesz spaces, 120
-
G. Rüttimann, C. Schindler (1986)
THE LEBESGUE DECOMPOSITION OF MEASURES ON ORTHOMODULAR POSETSQuarterly Journal of Mathematics, 37
- Publisher
- Springer Journals
- Copyright
- Copyright © 2013 by Springer Basel
- Subject
- Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
- ISSN
- 1385-1292
- eISSN
- 1572-9281
- DOI
- 10.1007/s11117-013-0257-1
- Publisher site
- See Article on Publisher Site
Abstract
A Lebesgue decomposition theorem for non-additive functions, acting on a $$\sigma $$ σ -complete orthomodular lattice and taking values in Hausdorff uniform spaces, is established. No algebraic structure is required on target spaces. The Boolean case is also investigated.
Journal
Positivity – Springer Journals
Published: Sep 26, 2013