메뉴 건너뛰기




Volumn 41, Issue 3-4, 2002, Pages 346-360

The Metric Completion of Convex Sets and Modules

Author keywords

46 A 55; 46 B 40; 52 A 01; 52 A 05

Indexed keywords


EID: 23544471276     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/BF03322777     Document Type: Article
Times cited : (7)

References (23)
  • 1
    • 84972518419 scopus 로고
    • The part metric in convex sets
    • Bauer, H., and Bear, H.S., The part metric in convex sets, Pac. J. Math. 30, 15–33, (1969)
    • (1969) Pac. J. Math. , vol.30 , pp. 15-33
    • Bauer, H.1    Bear, H.S.2
  • 2
    • 84968491626 scopus 로고
    • An intrinsic metric for parts
    • Bear, H.S., and Weiss, M.L., An intrinsic metric for parts, Proc. AMS 18, 812–817, (1967)
    • (1967) Proc. AMS , vol.18 , pp. 812-817
    • Bear, H.S.1    Weiss, M.L.2
  • 3
    • 0042892195 scopus 로고    scopus 로고
    • A cogenerator for preseparated superconvex spaces
    • Börger, R., and Kemper, R., A cogenerator for preseparated superconvex spaces, Appl. Cat. Str. 4, 361–370 (1996)
    • (1996) Appl. Cat. Str. , vol.4 , pp. 361-370
    • Börger, R.1    Kemper, R.2
  • 4
    • 84974277981 scopus 로고
    • Semiconvex Geometry
    • Flood, J., Semiconvex Geometry, J. Austral. Math. Soc. 30, 496–510 (1981)
    • (1981) J. Austral. Math. Soc. , vol.30 , pp. 496-510
    • Flood, J.1
  • 5
    • 0000824941 scopus 로고
    • Convex structures and operational quantum mechanics
    • Gudder, S., Convex structures and operational quantum mechanics, Comm. math. Phys. 29, 249–264 (1973)
    • (1973) Comm. math. Phys. , vol.29 , pp. 249-264
    • Gudder, S.1
  • 6
    • 0000680287 scopus 로고
    • Convexity und Mixtures
    • Gudder, S.P., Convexity und Mixtures, SIAM Rev. 19, 221–240 (1977)
    • (1977) SIAM Rev. , vol.19 , pp. 221-240
    • Gudder, S.P.1
  • 9
    • 4243702071 scopus 로고
    • Superconvex spaces and superconvex sets and the embedding of convex and superconvex space
    • König, H., and Wittstock, G., Superconvex spaces and superconvex sets and the embedding of convex and superconvex space, Note di Math. vol. X, Suppl. no. 2, 343–362 (1990)
    • (1990) Note di Math. vol. , vol.10 , Issue.2 , pp. 343-362
    • König, H.1    Wittstock, G.2
  • 10
    • 85053835199 scopus 로고    scopus 로고
    • Superconvexity and part completeness, Seminarberichte
    • Krause, U., Superconvexity and part completeness, Seminarberichte, FB Mathematik, FernUniversität. Bd. 63, 3, 427–438 (1998)
    • (1998) FB Mathematik, FernUniversität , vol.63 , Issue.3 , pp. 427-438
    • Krause, U.1
  • 11
    • 0346811840 scopus 로고
    • Ideally convex sets
    • Lifshits, E.A., Ideally convex sets, Functional Anal. Appl. 4, 330–331 (1970), orig. paper in Functional Anal. i. Prilozen 3, no. 1, 86-88 (1969)
    • (1970) Functional Anal. Appl. , vol.4 , pp. 330-331
    • Lifshits, E.A.1
  • 12
    • 84945784988 scopus 로고
    • Banach spaces and totally convex spaces I
    • Pumplün, D., and Röhrl, H., Banach spaces and totally convex spaces I, Comm. in Alg. 12, 953–1019 (1985)
    • (1985) Comm. in Alg. , vol.12 , pp. 953-1019
    • Pumplün, D.1    Röhrl, H.2
  • 13
    • 0041889999 scopus 로고
    • Banach spaces and totally convex spaces II
    • Pumplün, D., and Röhrl, H., Banach spaces and totally convex spaces II, Comm. in Alg. 13, 1047–1113 (1985)
    • (1985) Comm. in Alg. , vol.13 , pp. 1047-1113
    • Pumplün, D.1    Röhrl, H.2
  • 15
    • 85053841768 scopus 로고    scopus 로고
    • The Eilenberg-Moore algebras of base normed vector spaces
    • Pumplün, D., and Röhrl, H., The Eilenberg-Moore algebras of base normed vector spaces, Proc. Symp. Cat. Top., Univ. Cape Town 1994, 187-200 (1999)
    • (1999) Proc. Symp. Cat. Top., Univ. Cape Town , vol.1994 , pp. 187-200
    • Pumplün, D.1    Röhrl, H.2
  • 16
    • 0042391276 scopus 로고
    • Convexity theories IV, Klein-Hilbert parts in convex modules
    • Pumplün, D., and Röhrl, H., Convexity theories IV, Klein-Hilbert parts in convex modules, Appl. Cat. Str. 3, 173–200 (1995)
    • (1995) Appl. Cat. Str. , vol.3 , pp. 173-200
    • Pumplün, D.1    Röhrl, H.2
  • 17
    • 0041367189 scopus 로고    scopus 로고
    • Absolutely convex modules and Saks spaces
    • Pumplün, D., Absolutely convex modules and Saks spaces, J. Pure Appl. Alg. 155, 257–270 (2001)
    • (2001) J. Pure Appl. Alg. , vol.155 , pp. 257-270
    • Pumplün, D.1
  • 18
    • 23044527777 scopus 로고    scopus 로고
    • The universal compactification of topological convex sets and modules
    • Pumplün, D., The universal compactification of topological convex sets and modules, J. Conv. Anal., Vol. 8, Ni. 1, 1–13 (2001)
    • (2001) J. Conv. Anal. , vol.8 , Issue.1 , pp. 1-13
    • Pumplün, D.1
  • 19
    • 0041889998 scopus 로고
    • Categorical methods in convexity
    • Semadeni, Z., Categorical methods in convexity, Proc. Coll. Convex. Copenhagen 1965, 281-307 (1967)
    • (1967) Proc. Coll. Convex. Copenhagen , vol.1965 , pp. 281-307
    • Semadeni, Z.1
  • 20
    • 0001778908 scopus 로고
    • Postulates for the Barycentric Calculus
    • Stone, M.H., Postulates for the Barycentric Calculus, Annali di Matematica XXXIX, 25–30 (1949)
    • (1949) Annali di Matematica , vol.39 , pp. 25-30
    • Stone, M.H.1
  • 21
    • 84855813318 scopus 로고
    • Monadic Functors and Categories of Convex Sets
    • Preprint
    • Swirszcz, T., Monadic Functors and Categories of Convex Sets, Inst. Math., Polish Acad. Sci., Preprint 70 (1975)
    • (1975) Inst. Math., Polish Acad. Sci , vol.70
    • Swirszcz, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.