메뉴 건너뛰기




Volumn 62, Issue 4, 2012, Pages 1085-1100

Decomposition of ℓ-group-valued measures

Author keywords

D lattice; decomposition; Hammer Sobczyk decomposition; lattice ordered group; measure

Indexed keywords


EID: 84872341291     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10587-012-0065-y     Document Type: Article
Times cited : (5)

References (14)
  • 1
    • 1642500838 scopus 로고    scopus 로고
    • Congruences and ideals of effect algebras
    • A. Avallone, P. Vitolo: Congruences and ideals of effect algebras. Order 20 (2003), 67-77.
    • (2003) Order , vol.20 , pp. 67-77
    • Avallone, A.1    Vitolo, P.2
  • 2
    • 46849095664 scopus 로고    scopus 로고
    • On the Alexandroff decomposition theorem
    • A. Avallone, G. Barbieri, P. Vitolo: On the Alexandroff decomposition theorem. Math. Slovaca 58 (2008), 185-200.
    • (2008) Math. Slovaca , vol.58 , pp. 185-200
    • Avallone, A.1    Barbieri, G.2    Vitolo, P.3
  • 3
    • 60649115842 scopus 로고    scopus 로고
    • Decomposition of effect algebras and the Hammer-Sobczyk theorem
    • A. Avallone, G. Barbieri, P. Vitolo, H. Weber: Decomposition of effect algebras and the Hammer-Sobczyk theorem. Algebra Univers. 60 (2009), 1-18.
    • (2009) Algebra Univers. , vol.60 , pp. 1-18
    • Avallone, A.1    Barbieri, G.2    Vitolo, P.3    Weber, H.4
  • 4
    • 0004190631 scopus 로고
    • New York: American Mathematical Society
    • G. Birkhoff: Lattice Theory. American Mathematical Society, New York, 1940.
    • (1940) Lattice Theory
    • Birkhoff, G.1
  • 6
    • 84949436264 scopus 로고    scopus 로고
    • Sobczyk-Hammer decompositions and convergence theorems for measures with values in ℓ-groups
    • A. Boccuto, D. Candeloro: Sobczyk-Hammer decompositions and convergence theorems for measures with values in ℓ-groups. Real Anal. Exch. 33 (2008), 91-106.
    • (2008) Real Anal. Exch. , vol.33 , pp. 91-106
    • Boccuto, A.1    Candeloro, D.2
  • 7
    • 0012920375 scopus 로고
    • Measures and probabilities in ordered structures
    • M. Congost Iglesias: Measures and probabilities in ordered structures. Stochastica 5 (1981), 45-68.
    • (1981) Stochastica , vol.5 , pp. 45-68
    • Congost Iglesias, M.1
  • 9
    • 51249182310 scopus 로고
    • Group-valued modular functions
    • I. Fleischer, T. Traynor: Group-valued modular functions. Algebra Univers. 14 (1982), 287-291.
    • (1982) Algebra Univers. , vol.14 , pp. 287-291
    • Fleischer, I.1    Traynor, T.2
  • 11
    • 84972520544 scopus 로고
    • The ranges of additive set functions
    • P. C. Hammer, A. Sobczyk: The ranges of additive set functions. Duke Math. J. 11 (1944), 847-851.
    • (1944) Duke Math. J. , vol.11 , pp. 847-851
    • Hammer, P.C.1    Sobczyk, A.2
  • 12
    • 0010002789 scopus 로고
    • Sur quelques notions fondamentales dans la théorie générale des opérations linéaires
    • F. Riesz: Sur quelques notions fondamentales dans la théorie générale des opérations linéaires. Ann. Math. 41 (1940), 174-206. (In French.).
    • (1940) Ann. Math. , vol.41 , pp. 174-206
    • Riesz, F.1
  • 13
    • 0039258640 scopus 로고
    • Pitman Research Notes in Mathematics Series, Harlow: Longman Scientific & Technical
    • K. D. Schmidt: Jordan Decompositions of Generalized Vector Measures. Pitman Research Notes in Mathematics Series, 214, Harlow: Longman Scientific & Technical; New York etc.: John Wiley & Sons, Inc., 1989.
    • (1989) Jordan Decompositions of Generalized Vector Measures , vol.214
    • Schmidt, K.D.1
  • 14
    • 58049192467 scopus 로고    scopus 로고
    • Decomposition and extension of abstract measures in Riesz spaces
    • K. D. Schmidt: Decomposition and extension of abstract measures in Riesz spaces. Rend. Ist. Mat. Univ. Trieste 29 (1998), 135-213.
    • (1998) Rend. Ist. Mat. Univ. Trieste , vol.29 , pp. 135-213
    • Schmidt, K.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.