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Quaestiones Mathematicae Volume 37, 2014 - Issue 4
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Original Articles

Multipliers on noncommutative Orlicz spaces

Louis E. LabuschagneSchool for Comp., Stat. & Math. Sci., Fac. of Nat. Sci., North-West Univ. (Potch. Campus), Box 209, Private Bag X6001, 2520Potchefstroom, South Africa. E-Mail [email protected]
Pages 531-546 | Received 09 May 2012, Published online: 14 Mar 2014

References

  • W.B. Arveson, Subalgebras of C *-algebras, Acta Math. 123 (1969), 141–224.
  • C.D. Aliprantis and O. Burkinshaw, Locally Solid Riesz Spaces, Academic Press, New York, 1978.
  • G. Bennet and R. Sharpley, Interpolation of Operators, Academic Press, London, 1988.
  • O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics: Vol 1 (2nd ed), Springer, New York, 1987.
  • Y Cui, H Hudzik, R Kumar, and L Maligranda, Composition operators in Orlicz spaces, J. Aust. Math. Soc. 76 (2004), 189–206.
  • J. Dixmier, Les algébres d'opérateurs dans l'espace Hilbertien, Gautier-Villars, Paris, 1969.
  • P.G Dodds, T.K.-Y Dodds, and B de Pagter, Non-commutative Banach function spaces, Math. Z. 201 (1989), 583–597.
  • P.G Dodds, T.K.-Y Dodds, and B de Pagter, Fully symmetric operator spaces, Integr. Equat. Oper. Th. 15 (1992), 942–972.
  • P.G Dodds, T.K.-Y Dodds, and B de Pagter, Noncommutative Köthe duality, Trans. Amer. Math. Soc. 339 (1993), 717–750.
  • T Fack, and H Kosaki, Generalized s-numbers of τ-measurable operators, Paci_c J. Math. 123 (1986), 269–300.
  • S Goldstein, and L.E Labuschagne, Composition Operators on Haagerup Lp-spaces, IDAQP 12 (2009), 439–467.
  • S. Goldstein, H. Jarchow and L.E. Labuschagne, Compactness properties for multiplication operators on von Neumann algebras and their preduals, In: Quantum Probability, M. Bozejko, W. Mlotkowski and J. Wysoczanski (eds.), Banach Center Publications Vol. 73, pp. 177–185, Polish Academy of Sciences, Warsaw, 2006.
  • U Haagerup, M Junge, and Q Xu, A reduction method for noncommutative Lp-spaces and applications, Trans. Amer. Math. Soc. 362 (2010), 2125–2165.
  • M.A. Krasnoselsky and Y.B. Rutitsky Convex functions and Orlicz spaces ( translated from Russian), Hindustan Publishing Corp., Delhi, 1962.
  • R Kumar, Composition operators on Orlicz spaces, Integr. Equ. Oper. Theory 29 (1997), 17–22.
  • W Kunze, Noncommutative Orlicz spaces and generalised Arens algebras, Math. Nachr. 147 (1990), 123–138.
  • L.E Labuschagne, Composition Operators on Non-commutative Lp-spaces, Expo. Math. 17 (1999), 429–468.
  • L.E Labuschagne, and W.A Majewski, Maps on Noncommutative Orlicz Spaces, Illinois J. Math. 55 (2011), 1053–1081.
  • G.K Pedersen, and M Takesaki, The Radon-Nikodym theorem for von Neumann algebras, Acta Math. 130 (1973), 53–87.
  • M.M. Rao and Z.D. Ren, Theory of Orlicz spaces, Marcel Dekker, New York, 1991.
  • S. Sakai, C * and W * -algebras, Springer-Verlag, Berlin, 1971.
  • R.K. Singh and J.S. Manhas, Composition Operators on Function Spaces, North-Holland, Amsterdam, 1993.
  • H Takagi, and K Yokouchi, Multiplication and Composition Operators between Two Lp-spaces, Contemporary Mathematics 232 (1999), 321–338.
  • M. Takesaki, Theory of Operator Algebras, Vol. I,II,III, Springer, New York, 2003
  • M. Terp, L p spaces associated with von Neumann algebras, Copenhagen University, 1981.
  • G.P. West, Non-commutative Banach Function Spaces, M.Sc. Thesis, University of Cape Town, 1990.
  • F.J Yeadon, Ergodic theorems for semifinite von neumann algebras, J. London Math. Soc. 16 (1977), 326–332.

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