메뉴 건너뛰기




Volumn , Issue 776, 2003, Pages

Banach embedding properties of non-commutative Lp-spaces

Author keywords

Banach isomorphism; Schatten p class; Uniform integrability; Von Neumann algebras

Indexed keywords


EID: 85009032847     PISSN: 00659266     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (41)

References (57)
  • 1
    • 84968500682 scopus 로고
    • The dual space of an operator algebra
    • [A]
    • [A] C.A. Akemann, The dual space of an operator algebra, Trans. Amer. Math. Soc. 91 (1967), 286-302.
    • (1967) Trans. Amer. Math. Soc. , vol.91 , pp. 286-302
    • Akemann, C.A.1
  • 2
    • 21344441743 scopus 로고    scopus 로고
    • Completely bounded isomorphisms of operator algebras
    • [Ar]
    • [Ar] A. Arias, Completely bounded isomorphisms of operator algebras, Proc. Amer. Math. Soc. 124 (1996), 1091-1101.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1091-1101
    • Arias, A.1
  • 4
    • 84974003839 scopus 로고
    • Standard dual of an operator space
    • [B1]
    • [B1] D. Blecher, Standard dual of an operator space, Pacific J. Math. 153 (1992), 15-30.
    • (1992) Pacific J. Math. , vol.153 , pp. 15-30
    • Blecher, D.1
  • 5
  • 6
    • 84967712831 scopus 로고
    • On J-convexity and some ergodic super-properties of banach spaces
    • [BrS2]
    • [BrS2] A. Brunel and L. Sucheston, On J-convexity and some ergodic super-properties of Banach spaces, Trans. Amer. Math. Soc. 204 (1975), 79-90.
    • (1975) Trans. Amer. Math. Soc. , vol.204 , pp. 79-90
    • Brunel, A.1    Sucheston, L.2
  • 7
    • 0000042265 scopus 로고
    • Extreme points of convex fully symmetric sets of measurable operators
    • [CKS]
    • [CKS] V.I. Chilin, A.V. Krygin and F.A. Sukochev, Extreme points of convex fully symmetric sets of measurable operators, Integral Equations Operator Theory 15 (1992), 186-226.
    • (1992) Integral Equations Operator Theory , vol.15 , pp. 186-226
    • Chilin, V.I.1    Krygin, A.V.2    Sukochev, F.A.3
  • 8
    • 0002495868 scopus 로고
    • Weak convergence in a non-commutative symmetric spaces
    • [CS]
    • [CS] V.I. Chilin and F.A. Sukochev, Weak convergence in a non-commutative symmetric spaces, J. Operator Theory 31 (1994), 35-65.
    • (1994) J. Operator Theory , vol.31 , pp. 35-65
    • Chilin, V.I.1    Sukochev, F.A.2
  • 9
    • 84976003291 scopus 로고
    • Completely bounded isomorphisms of injective von Neumann algebras
    • [ChrS]
    • [ChrS] E. Christensen and A. Sinclair, Completely bounded isomorphisms of injective von Neumann algebras, Proc. Edingurgh Math. Soc. 32 (1989), 317-327.
    • (1989) Proc. Edingurgh Math. Soc. , vol.32 , pp. 317-327
    • Christensen, E.1    Sinclair, A.2
  • 10
    • 0001380544 scopus 로고
    • Une classification des facteurs de type III
    • [C1]
    • [C1] A. Connes, Une Classification des facteurs de Type III, Ann. Sci. École Norm. Sup 4 (1973), 133-252.
    • (1973) Ann. Sci. École Norm. Sup , vol.4 , pp. 133-252
    • Connes, A.1
  • 11
    • 0002179940 scopus 로고
    • Classification of injective factors
    • [C2]
    • [C2] A. Connes, Classification of injective factors, Annals of Math. 104 (1976), 73-115.
    • (1976) Annals of Math. , vol.104 , pp. 73-115
    • Connes, A.1
  • 12
    • 2542569553 scopus 로고    scopus 로고
    • Weak compactness criteria in symmetric spaces of measurable operators
    • [DSS]
    • [DSS] P.G. Dodds, G. Schluchtermann and F.A. Sukochev, Weak compactness criteria in symmetric spaces of measurable operators, Math. Proc. Camb. Phil. Soc. 131 (2001), 363-384.
    • (2001) Math. Proc. Camb. Phil. Soc. , vol.131 , pp. 363-384
    • Dodds, P.G.1    Schluchtermann, G.2    Sukochev, F.A.3
  • 13
    • 84972546868 scopus 로고
    • Generalized s-numbers of τ-measurable operators
    • [FK]
    • [FK] T. Fack and H. Kosaki, Generalized s-numbers of τ-measurable operators, Pacific J. Math. 123 (1986), 269-300.
    • (1986) Pacific J. Math. , vol.123 , pp. 269-300
    • Fack, T.1    Kosaki, H.2
  • 15
  • 16
    • 0003301335 scopus 로고
    • Introduction to the theory of linear nonself-adjoint operators
    • [GK], Second Printing
    • [GK] I.C. Gohberg and M. G. Krein, Introduction to the theory of linear nonself-adjoint operators, Amer. Math. Soc., Second Printing, 1978.
    • (1978) Amer. Math. Soc.
    • Gohberg, I.C.1    Krein, M.G.2
  • 17
    • 84968501773 scopus 로고
    • The unconditional basic sequence problem
    • [GM]
    • [GM] W.T. Gowers and B. Maurey, The unconditional basic sequence problem, J. Amer. Math. Soc. 6 (1993), 851-874.
    • (1993) J. Amer. Math. Soc. , vol.6 , pp. 851-874
    • Gowers, W.T.1    Maurey, B.2
  • 21
    • 0000639992 scopus 로고
    • Equivalence of normal states on von Neumann algebras and the flow of weights
    • [HS]
    • [HS] U. Haagerup and E. Størmer, Equivalence of normal states on von Neumann algebras and the flow of weights, Advances in Math. 83 (1990), 180-262.
    • (1990) Advances in Math. , vol.83 , pp. 180-262
    • Haagerup, U.1    Størmer, E.2
  • 22
    • 0034628713 scopus 로고    scopus 로고
    • The effros-marechal topology in the space of von Neumann algebras II
    • [HW]
    • [HW] U. Haagerup and C. Winslöw, The Effros-Marechal topology in the space of von Neumann algebras II, J. Funct. Anal. 171 (2000), 401-431.
    • (2000) J. Funct. Anal. , vol.171 , pp. 401-431
    • Haagerup, U.1    Winslöw, C.2
  • 25
  • 27
    • 0000283313 scopus 로고
    • Sous-espaces de dimension finie des espaces de Banach reticules
    • [Kr]
    • [Kr] J.L. Krivine, Sous-espaces de dimension finie des espaces de Banach reticules, Ann. of Math. 104 (1976), 1-29.
    • (1976) Ann. of Math. , vol.104 , pp. 1-29
    • Krivine, J.L.1
  • 28
    • 84966251433 scopus 로고
    • A short proof and generalization of a measure theoretic disjointization lemma
    • [Ku]
    • [Ku] J. Kupka, A short proof and generalization of a measure theoretic disjointization lemma, Proc. Amer. Math. Soc. 45 (1974), 70-72.
    • (1974) Proc. Amer. Math. Soc. , vol.45 , pp. 70-72
    • Kupka, J.1
  • 29
    • 51249182737 scopus 로고
    • p dans un espace de Banach
    • [L]
    • p dans un espace de Banach, Israel J. Math. 39 (1981), 341-348.
    • (1981) Israel J. Math. , vol.39 , pp. 341-348
    • Lemberg, H.1
  • 31
    • 0001335490 scopus 로고
    • p (1 < p < ∞)
    • [L-P], Serie I
    • p (1 < p < ∞), C.R. Acad. Sc. Paris, 303, Serie I, no.7 (1986), 289-292.
    • (1986) C.R. Acad. Sc. Paris , vol.303 , Issue.7 , pp. 289-292
    • Lust-Piquard, F.1
  • 32
    • 0002239296 scopus 로고
    • Normalized weakly null sequences with no unconditional subsequences
    • [MR]
    • [MR] B. Maurey and H.P. Rosenthal, Normalized weakly null sequences with no unconditional subsequences, Studia Math. 6 (1977), 77-98.
    • (1977) Studia Math. , vol.6 , pp. 77-98
    • Maurey, B.1    Rosenthal, H.P.2
  • 34
    • 84963043585 scopus 로고
    • Central sequences and the hyperfinite factor
    • [MCD]
    • [MCD] D. McDuff, Central sequences and the hyperfinite factor, Proc. London Math. Soc. 21 (1970), 443-461.
    • (1970) Proc. London Math. Soc. , vol.21 , pp. 443-461
    • McDuff, D.1
  • 35
    • 0001546933 scopus 로고
    • Projections in certain banach spaces
    • [P]
    • [P] A. Pelczyński, Projections in certain Banach spaces, Studia Math. 29 (1969), 209-227.
    • (1969) Studia Math. , vol.29 , pp. 209-227
    • Pelczyński, A.1
  • 36
    • 0000863458 scopus 로고
    • Weak compactness in the dual of a C*-algebra is determined commutatively
    • [Pf]
    • [Pf] H. Pfitzner, Weak compactness in the dual of a C*-algebra is determined commutatively, Math. Ann. 298 (1994), 349-371.
    • (1994) Math. Ann. , vol.298 , pp. 349-371
    • Pfitzner, H.1
  • 37
    • 0037538981 scopus 로고    scopus 로고
    • p-spaces and completely p-summing maps
    • [Pi1], Societé Mathématique de France
    • p-spaces and completely p-summing maps, Asterisque 247, Societé Mathématique de France, 1998.
    • (1998) Asterisque , vol.247
    • Pisier, G.1
  • 39
    • 0031549892 scopus 로고    scopus 로고
    • Non-commutative martingale inequalities
    • [PX1]
    • [PX1] G. Pisier and Q. Xu, Non-commutative martingale inequalities, Commun. Math. Phys. 184 (1997), 667-698.
    • (1997) Commun. Math. Phys. , vol.184 , pp. 667-698
    • Pisier, G.1    Xu, Q.2
  • 40
    • 85009028471 scopus 로고    scopus 로고
    • [PX2], Personal communication
    • [PX2] G. Pisier and Q. Xu, Personal communication.
    • Pisier, G.1    Xu, Q.2
  • 45
    • 0001202348 scopus 로고
    • On relatively disjoint families of measures, with some applications to banach space theory
    • [R1]
    • [R1] H.P. Rosenthal, On relatively disjoint families of measures, with some applications to Banach space theory, Studia Math. 37 (1970), 13-36; Correction, ibid., 311-313.
    • (1970) Studia Math. , vol.37 , pp. 13-36
    • Rosenthal, H.P.1
  • 46
    • 85009032133 scopus 로고    scopus 로고
    • Correction
    • [R1] H.P. Rosenthal, On relatively disjoint families of measures, with some applications to Banach space theory, Studia Math. 37 (1970), 13-36; Correction, ibid., 311-313.
    • Studia Math. , pp. 311-313
  • 48
    • 0013286042 scopus 로고
    • p in general banach spaces
    • [R3]
    • p in general Banach spaces, J. Funct. Anal. 28 (1978), 197-225.
    • (1978) J. Funct. Anal. , vol.28 , pp. 197-225
    • Rosenthal, H.P.1
  • 49
    • 21344471038 scopus 로고    scopus 로고
    • p-spaces associated with finite and infinite von Neumann algebras
    • [S1]
    • p-spaces associated with finite and infinite von Neumann algebras, Proc. Amer. Math. Soc. 124 (1996), 1517-1527.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1517-1527
    • Sukochev, F.A.1
  • 50
    • 0034355882 scopus 로고    scopus 로고
    • p-spaces associated with von Neumann algebras of type I
    • [S2]
    • p-spaces associated with von Neumann algebras of type I, Israel J. Math. 115 (2000), 137-156.
    • (2000) Israel J. Math. , vol.115 , pp. 137-156
    • Sukochev, F.A.1
  • 51
    • 21844490583 scopus 로고
    • Harmonic analysis in symmetric spaces of measurable operators
    • [SF]
    • [SF] F.A. Sukochev and S. Ferleger, Harmonic analysis in symmetric spaces of measurable operators, Russian Acad. Sci. Dokl. Math. 50 (1995), 432-437.
    • (1995) Russian Acad. Sci. Dokl. Math. , vol.50 , pp. 432-437
    • Sukochev, F.A.1    Ferleger, S.2
  • 53
    • 0000565792 scopus 로고
    • Sur les suites faiblement convergentes dans l'espace L
    • [Sz]
    • [Sz] W. Szlenk, Sur les suites faiblement convergentes dans l'espace L, Studia Math. 25 (1965), 337-341.
    • (1965) Studia Math. , vol.25 , pp. 337-341
    • Szlenk, W.1
  • 54
    • 0000142609 scopus 로고
    • Inequalities between the two kinds of eigenvalues of a linear transformation
    • [W]
    • [W] H. Weyl, Inequalities between the two kinds of eigenvalues of a linear transformation, Proc. Nat. Acad. Sci. USA 35 (1949), 408-411.
    • (1949) Proc. Nat. Acad. Sci. USA , vol.35 , pp. 408-411
    • Weyl, H.1
  • 55
    • 0013237361 scopus 로고
    • Quotients of finite W*-algebras
    • [V]
    • [V] J. Vesterstrom, Quotients of finite W*-algebras, J. Funct. Anal. 9 (1972), 322-335.
    • (1972) J. Funct. Anal. , vol.9 , pp. 322-335
    • Vesterstrom, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.