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Volumn 338, Issue 1, 2008, Pages 392-406

Normality and modulability indices. Part II: Convex cones in Hilbert spaces

Author keywords

Convex cones; Modulability index; Normality index

Indexed keywords


EID: 34548864391     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.05.019     Document Type: Article
Times cited : (8)

References (23)
  • 1
    • 84966251647 scopus 로고
    • Quantitative stability of variational systems. I. The epigraphical distance
    • Attouch H., and Wets R.J.B. Quantitative stability of variational systems. I. The epigraphical distance. Trans. Amer. Math. Soc. 328 (1991) 695-729
    • (1991) Trans. Amer. Math. Soc. , vol.328 , pp. 695-729
    • Attouch, H.1    Wets, R.J.B.2
  • 3
    • 0011640435 scopus 로고
    • Sur la décomposition des fonctionnelles en composantes positives
    • (in French)
    • Grosberg J., and Krein M. Sur la décomposition des fonctionnelles en composantes positives. C. R. Dokl. Acad. Sci. URSS (N.S.) 25 (1939) 723-726 (in French)
    • (1939) C. R. Dokl. Acad. Sci. URSS (N.S.) , vol.25 , pp. 723-726
    • Grosberg, J.1    Krein, M.2
  • 5
    • 33645656211 scopus 로고    scopus 로고
    • Measuring the degree of pointedness of a closed convex cone: A metric approach
    • Iusem A., and Seeger A. Measuring the degree of pointedness of a closed convex cone: A metric approach. Math. Nachr. 279 (2006) 599-618
    • (2006) Math. Nachr. , vol.279 , pp. 599-618
    • Iusem, A.1    Seeger, A.2
  • 6
    • 33645699341 scopus 로고    scopus 로고
    • Axiomatization of the index of pointedness for closed convex cones
    • Iusem A., and Seeger A. Axiomatization of the index of pointedness for closed convex cones. Comput. Appl. Math. 24 (2005) 245-285
    • (2005) Comput. Appl. Math. , vol.24 , pp. 245-285
    • Iusem, A.1    Seeger, A.2
  • 7
    • 27244437220 scopus 로고    scopus 로고
    • On vectors achieving the maximal angle of a convex cone
    • Iusem A., and Seeger A. On vectors achieving the maximal angle of a convex cone. Math. Program. 104 (2005) 501-523
    • (2005) Math. Program. , vol.104 , pp. 501-523
    • Iusem, A.1    Seeger, A.2
  • 8
    • 34548815341 scopus 로고    scopus 로고
    • A. Iusem, A. Seeger, Searching for critical angles in a convex cone, Math. Program. (2007), in press
  • 9
    • 34347253617 scopus 로고    scopus 로고
    • A. Iusem, A. Seeger, Computing the radius of pointedness of a convex cone, Math. Program. (2007), doi: 10.1007/S10107-006-0069-1, in press
  • 10
    • 34548842130 scopus 로고    scopus 로고
    • A. Iusem, A. Seeger, Antipodality in convex cones and distance to unpointedness (June 2006), submitted for publication
  • 11
    • 34548814994 scopus 로고    scopus 로고
    • Normality and modulability indices. Part I: Convex cones in normed spaces
    • (this issue)
    • Iusem A., and Seeger A. Normality and modulability indices. Part I: Convex cones in normed spaces. J. Math. Anal. Appl. 338 1 (2008) 365-391 (this issue)
    • (2008) J. Math. Anal. Appl. , vol.338 , Issue.1 , pp. 365-391
    • Iusem, A.1    Seeger, A.2
  • 12
    • 0037224664 scopus 로고    scopus 로고
    • On positive-off-diagonal operators on ordered normed spaces
    • Kalauch A. On positive-off-diagonal operators on ordered normed spaces. Z. Anal. Anwendungen 22 (2003) 229-238
    • (2003) Z. Anal. Anwendungen , vol.22 , pp. 229-238
    • Kalauch, A.1
  • 13
    • 34248566826 scopus 로고
    • Another characterization of inner product spaces
    • Kirk W.A., and Smiley M.F. Another characterization of inner product spaces. Amer. Math. Monthly 71 (1964) 890-891
    • (1964) Amer. Math. Monthly , vol.71 , pp. 890-891
    • Kirk, W.A.1    Smiley, M.F.2
  • 15
    • 0039972079 scopus 로고
    • Propriétés fondamentales des ensembles coniques normaux dans l'espace de Banach
    • (in French)
    • Krein M. Propriétés fondamentales des ensembles coniques normaux dans l'espace de Banach. C. R. Dokl. Acad. Sci. URSS (N.S.) 28 (1940) 13-17 (in French)
    • (1940) C. R. Dokl. Acad. Sci. URSS (N.S.) , vol.28 , pp. 13-17
    • Krein, M.1
  • 16
    • 0012107421 scopus 로고
    • Linear differential equations and functional analysis. I
    • Massera J.L., and Schäffer J.J. Linear differential equations and functional analysis. I. Ann. of Math. 67 (1958) 517-573
    • (1958) Ann. of Math. , vol.67 , pp. 517-573
    • Massera, J.L.1    Schäffer, J.J.2
  • 17
    • 0001650577 scopus 로고
    • Décomposition orthogonale d'un espace hilbertien selon deux cones mutuellement polaires
    • Moreau J.J. Décomposition orthogonale d'un espace hilbertien selon deux cones mutuellement polaires. C. R. Acad. Sci. Paris 255 (1962) 238-240
    • (1962) C. R. Acad. Sci. Paris , vol.255 , pp. 238-240
    • Moreau, J.J.1
  • 18
    • 0000171725 scopus 로고    scopus 로고
    • Computing approximate solutions for conic systems of constraints
    • Peña J., and Renegar J. Computing approximate solutions for conic systems of constraints. Math. Program. 87 (2000) 351-383
    • (2000) Math. Program. , vol.87 , pp. 351-383
    • Peña, J.1    Renegar, J.2
  • 23
    • 84966216030 scopus 로고
    • Continuity of some convex-cone-valued mappings
    • Walkup D.W., and Wets R.J.B. Continuity of some convex-cone-valued mappings. Proc. Amer. Math. Soc. 18 (1967) 229-235
    • (1967) Proc. Amer. Math. Soc. , vol.18 , pp. 229-235
    • Walkup, D.W.1    Wets, R.J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.