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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Dodds, P.G. and de Pagter, B. 2014. Normed Köthe spaces: A non-commutative viewpoint. Indagationes Mathematicae, Vol. 25, Issue. 2, p. 206.


    Dodds, P. G. and de Pagter, B. 2011. Properties (u) and (V*) of Pelczynski in symmetric spaces of τ-measurable operators. Positivity, Vol. 15, Issue. 4, p. 571.


    Pisier, Gilles and Xu, Quanhua 2003.


    Dodds, Peter G. and Dodds, Theresa K.-Y. 1995. SOME ASPECTS OF THE THEORY OF SYMMETRIC OPERATOR SPACES. Quaestiones Mathematicae, Vol. 18, Issue. 1-3, p. 47.


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  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 110, Issue 1
  • July 1991, pp. 169-182

Weakly compact subsets of symmetric operator spaces

  • Peter G. Dodds (a1), Theresa K. Dodds (a1) and Ben De Pagter (a2)
  • DOI: http://dx.doi.org/10.1017/S0305004100070225
  • Published online: 24 October 2008
Abstract
Abstract

Under natural conditions it is shown that the rearrangement invariant hull of a weakly compact subset of a properly symmetric Banach space of measurable operators affiliated with a semi-finite von Neumann algebra is again relatively weakly compact.

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[2]C. A. Akemann . The dual space of an operator algebra. Trans. Amer. Math. Soc. 126 (1967), 286302.

[3]T. Ando . On fundamental properties of a Banach space with a cone. Pacific J. Math. 12 (1962), 11631169.

[4]K. M. Chong . Spectral orders, uniform integrability and Lebesgue's dominated convergence theorem. Trans. Amer. Math. Soc. 191 (1974), 395404.

[5]P. G. Dodds , T. K. Dodds and B. de Pagter . Non-commutative Banach function spaces. Math. Z. 201 (1989), 583597.

[8]J. Diestel . Sequences and Series in Banach Space. Graduate Texts in Math. no. 92 (Springer-Verlag, 1984).

[11]T. Fack and H. Kosaki . Generalized s-numbers of τ-measurable operators. Pacific J. Math. 123 (1986), 269300.

[19]E. Nelson . Notes on non-commutative integration. J. Fund. Anal. 15 (1974), 103116.

[22]J. V. Ryff . Orbits of L1-functions under doubly stochastic transformations. Trans. Amer. Math. Soc. 117 (1965), 92100.

[23]S. Sakai . Topological properties of W*-algebras. Proc. Japan Acad. 33 (1957), 439444.

[25]M. Takesaki . Theory of Operator Algebras I (Springer-Verlag, 1979).

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
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