메뉴 건너뛰기




Volumn 148, Issue 1, 1997, Pages 28-69

Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031206248     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.3055     Document Type: Article
Times cited : (59)

References (53)
  • 1
    • 38249019108 scopus 로고
    • Representations of groups with ordered duals and generalised analyticity
    • Asmar N., Berkson E., Gillespie T. A. Representations of groups with ordered duals and generalised analyticity. J. Funct. Anal. 90:1990;206-235.
    • (1990) J. Funct. Anal. , vol.90 , pp. 206-235
    • Asmar, N.1    Berkson, E.2    Gillespie, T.A.3
  • 2
    • 0010847616 scopus 로고
    • Some commutator estimates in the Schatten classes
    • Abdessemed A., Davies E. B. Some commutator estimates in the Schatten classes. J. London Math. Soc. 39:1989;299-308.
    • (1989) J. London Math. Soc. , vol.39 , pp. 299-308
    • Abdessemed, A.1    Davies, E.B.2
  • 3
    • 0010912793 scopus 로고
    • Bounds for some constants in some operator inequalities in the Schatten classes
    • Abdessemed A. Bounds for some constants in some operator inequalities in the Schatten classes. J. London Math. Soc. 41:1990;303-309.
    • (1990) J. London Math. Soc. , vol.41 , pp. 303-309
    • Abdessemed, A.1
  • 4
    • 0000187235 scopus 로고
    • Some remarks on interpolation theorems and the boundedness of the triangular projection in unitary matrix spaces
    • Arazy J. Some remarks on interpolation theorems and the boundedness of the triangular projection in unitary matrix spaces. Integral Equations Operator Theory. 1:1978;453-495.
    • (1978) Integral Equations Operator Theory , vol.1 , pp. 453-495
    • Arazy, J.1
  • 5
    • 0001061127 scopus 로고
    • On groups of automorphisms of operator algebras
    • Arveson W. On groups of automorphisms of operator algebras. J. Funct. Anal. 15:1974;217-243.
    • (1974) J. Funct. Anal. , vol.15 , pp. 217-243
    • Arveson, W.1
  • 8
    • 84962991670 scopus 로고
    • Abstract spectral decomposition guaranteed by the Hilbert transform
    • Berkson E., Gillespie T. A., Muhly P. S. Abstract spectral decomposition guaranteed by the Hilbert transform. Proc. London Math. Soc. 53:1986;489-517.
    • (1986) Proc. London Math. Soc. , vol.53 , pp. 489-517
    • Berkson, E.1    Gillespie, T.A.2    Muhly, P.S.3
  • 12
    • 0000156679 scopus 로고
    • Some remarks on Banach spaces in which martingale difference sequences are unconditional
    • Bourgain J. Some remarks on Banach spaces in which martingale difference sequences are unconditional. Ark. Math. 21:1983;163-168.
    • (1983) Ark. Math. , vol.21 , pp. 163-168
    • Bourgain, J.1
  • 13
    • 84966227236 scopus 로고
    • Spaces between a pair of reflexive Lebesgue spaces
    • Boyd D. W. Spaces between a pair of reflexive Lebesgue spaces. Proc. Amer. Math. Soc. 18:1967;215-219.
    • (1967) Proc. Amer. Math. Soc. , vol.18 , pp. 215-219
    • Boyd, D.W.1
  • 14
    • 0001661294 scopus 로고
    • Indices of function spaces and their relationship to interpolation
    • Boyd D. W. Indices of function spaces and their relationship to interpolation. Can. J. Math. 38:1969;1245-1254.
    • (1969) Can. J. Math. , vol.38 , pp. 1245-1254
    • Boyd, D.W.1
  • 15
    • 0010780257 scopus 로고
    • The Hilbert transform on rearrangement invariant Banach function spaces
    • Boyd D. W. The Hilbert transform on rearrangement invariant Banach function spaces. Can. J. Math. 19:1967;599-616.
    • (1967) Can. J. Math. , vol.19 , pp. 599-616
    • Boyd, D.W.1
  • 16
    • 0010850595 scopus 로고
    • Continuity of operators in spaces of vector functions with applications to the theory of bases
    • Bukhvalov A. V. Continuity of operators in spaces of vector functions with applications to the theory of bases. J. Soviet. Math. 44:1989;749-762.
    • (1989) J. Soviet. Math. , vol.44 , pp. 749-762
    • Bukhvalov, A.V.1
  • 17
    • 0001669037 scopus 로고
    • A geometrical characterisation of Banach spaces in which martingale difference theory of bases
    • Burkholder D. L. A geometrical characterisation of Banach spaces in which martingale difference theory of bases. Ann. Probab. 9:1981;997-1011.
    • (1981) Ann. Probab. , vol.9 , pp. 997-1011
    • Burkholder, D.L.1
  • 18
    • 0002080063 scopus 로고
    • A geometric condition that implies the existence of certain singular integrals of Banach-space valued functions
    • 286, Wadsworth, Belmont, CA
    • D. L. Burkholder, 1983, A geometric condition that implies the existence of certain singular integrals of Banach-space valued functions, Proceedings of a Conference in Honour of Antoni Zygmund, Chicago, 1981, 270, 286, Wadsworth, Belmont, CA.
    • (1983) Proceedings of a Conference in Honour of Antoni Zygmund Chicago, 1981 , pp. 270
    • Burkholder, D.L.1
  • 19
    • 0002495868 scopus 로고
    • Weak convergence in non-commutative symmetric spaces
    • Chilin V. I., Sukochev F. A. Weak convergence in non-commutative symmetric spaces. J. Operator Theory. 32:1993;1-31.
    • (1993) J. Operator Theory , vol.32 , pp. 1-31
    • Chilin, V.I.1    Sukochev, F.A.2
  • 21
    • 84963022844 scopus 로고
    • Lipschitz continuity of functions of operators in the Schatten classes
    • Davies E. B. Lipschitz continuity of functions of operators in the Schatten classes. J. London Math. Soc. 37:1988;148-157.
    • (1988) J. London Math. Soc. , vol.37 , pp. 148-157
    • Davies, E.B.1
  • 24
    • 0001333435 scopus 로고
    • Non-commutative Banach function spaces
    • Dodds P. G., Dodds T. K., de Pagter B. Non-commutative Banach function spaces. Math. Z. 201:1989;583-597.
    • (1989) Math. Z. , vol.201 , pp. 583-597
    • Dodds, P.G.1    Dodds, T.K.2    De Pagter, B.3
  • 28
    • 0010847132 scopus 로고
    • Macaev's theorem for symmetric spaces of measurable operators
    • Ferleger S. V., Sukochev F. A. Macaev's theorem for symmetric spaces of measurable operators. Mat. Zametki. 1994.
    • (1994) Mat. Zametki
    • Ferleger, S.V.1    Sukochev, F.A.2
  • 31
    • 0001129048 scopus 로고
    • Continuity of the mapSS
    • Kato T. Continuity of the mapSS. Proc. Japan Acad. 49:1973;157-160.
    • (1973) Proc. Japan Acad. , vol.49 , pp. 157-160
    • Kato, T.1
  • 32
    • 0000060891 scopus 로고
    • On the continuity of the mapφφW
    • Kosaki H. On the continuity of the mapφφW. J. Funct. Anal. 59:1984;123-131.
    • (1984) J. Funct. Anal. , vol.59 , pp. 123-131
    • Kosaki, H.1
  • 33
    • 85007974512 scopus 로고
    • Unitarily invariant norms under which the mapAA
    • Kosaki H. Unitarily invariant norms under which the mapAA. Publ. Rest. Inst. Math. Sci. 28:1992;299-313.
    • (1992) Publ. Rest. Inst. Math. Sci. , vol.28 , pp. 299-313
    • Kosaki, H.1
  • 34
    • 0010858864 scopus 로고
    • Non-commutative Lorentz spaces associated with a semi-finite von Neumann algebra and applications
    • Kosaki H. Non-commutative Lorentz spaces associated with a semi-finite von Neumann algebra and applications. Proc. Japan Acad. 57:1981;303-306.
    • (1981) Proc. Japan Acad. , vol.57 , pp. 303-306
    • Kosaki, H.1
  • 36
    • 0002059497 scopus 로고
    • The main triangle projection in matrix spaces and its applications
    • Kwapien S., Pelczynski A. The main triangle projection in matrix spaces and its applications. Studia Math. 34:1970;43-68.
    • (1970) Studia Math. , vol.34 , pp. 43-68
    • Kwapien, S.1    Pelczynski, A.2
  • 39
    • 0001966744 scopus 로고
    • Rearrangement invariant Banach function spaces
    • Luxemburg W. A. J. Rearrangement invariant Banach function spaces. Queen's Papers Pure Appl. Math. 10:1967;83-144.
    • (1967) Queen's Papers Pure Appl. Math. , vol.10 , pp. 83-144
    • Luxemburg, W.A.J.1
  • 40
    • 84968501400 scopus 로고
    • Counterexample to a question on commutators
    • McIntosh A. Counterexample to a question on commutators. Proc. Amer. Math. Soc. 29:1971;337-340.
    • (1971) Proc. Amer. Math. Soc. , vol.29 , pp. 337-340
    • McIntosh, A.1
  • 41
    • 33646751994 scopus 로고
    • Notes on non-commutative integration
    • Nelson E. Notes on non-commutative integration. J. Funct. Anal. 15:1974;103-116.
    • (1974) J. Funct. Anal. , vol.15 , pp. 103-116
    • Nelson, E.1
  • 43
    • 0010855532 scopus 로고
    • Symmetric spaces of measurable operators
    • Ovcinnikov V. I. Symmetric spaces of measurable operators. Dokl. Nauk SSSR. 191:1970;769-771.
    • (1970) Dokl. Nauk SSSR , vol.191 , pp. 769-771
    • Ovcinnikov, V.I.1
  • 44
    • 0001671364 scopus 로고
    • Martingale and integral transforms of Banach space valued functions
    • Berlin/New York: Springer-Verlag
    • Rubio de Francia J. Martingale and integral transforms of Banach space valued functions. Probability in Banach Spaces, 9. Lecture Notes in Mathematics. 1221:1994;Springer-Verlag, Berlin/New York.
    • (1994) Probability in Banach Spaces, 9 Lecture Notes in Mathematics , vol.1221
    • Rubio De Francia, J.1
  • 45
    • 0000114353 scopus 로고
    • A non-commutative extension of abstract integration
    • Segal I. E. A non-commutative extension of abstract integration. Ann. Math. 57:1953;401-457.
    • (1953) Ann. Math. , vol.57 , pp. 401-457
    • Segal, I.E.1
  • 49
    • 0000389660 scopus 로고
    • Duality for crossed products and structure of von Neumann algebras of type III
    • Taseki M. Duality for crossed products and structure of von Neumann algebras of type III. Acta Math. 131:1973;249-310.
    • (1973) Acta Math. , vol.131 , pp. 249-310
    • Taseki, M.1
  • 51
    • 0010780259 scopus 로고
    • Continuity of operator functions in topologies connected with a trace on a von Neumann algebra
    • Tychonov O. E. Continuity of operator functions in topologies connected with a trace on a von Neumann algebra. Izv. Vyssh. Uchebn. Zaved. Mat. 1987;77-79.
    • (1987) Izv. Vyssh. Uchebn. Zaved. Mat. , pp. 77-79
    • Tychonov, O.E.1
  • 52
    • 0004294301 scopus 로고
    • Amsterdam: North-Holland
    • Zaanen A. C. Integration. 1967;North-Holland, Amsterdam.
    • (1967) Integration
    • Zaanen, A.C.1
  • 53
    • 49149143542 scopus 로고
    • On spectral subspaces associated to locally compact abelian groups of operators
    • Zsidó L. On spectral subspaces associated to locally compact abelian groups of operators. Adv. Math. 36:1980;213-276.
    • (1980) Adv. Math. , vol.36 , pp. 213-276
    • Zsidó, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.