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Principle of local reflexivity revisited

Author(s): Eve Oja; Märt Põldvere
Journal: Proc. Amer. Math. Soc. 135 (2007), 1081-1088.
MSC (2000): Primary 46B07, 46B20, 46B28
Posted: October 2, 2006
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Abstract: We give, departing from Grothendieck's description of the dual of the space of weak$ ^\ast$-weak continuous finite-rank operators, a clear proof for the principle of local reflexivity in a general form.

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Additional Information:

Eve Oja
Affiliation: Institute of Pure Mathematics, Tartu University, J. Liivi 2, 50409 Tartu, Estonia
Email: eve.oja@ut.ee

Märt Põldvere
Affiliation: Institute of Pure Mathematics, Tartu University, J. Liivi 2, 50409 Tartu, Estonia
Email: mart.poldvere@ut.ee

DOI: 10.1090/S0002-9939-06-08612-6
PII: S 0002-9939(06)08612-6
Keywords: Principle of local reflexivity, extension operator, locally complemented subspaces
Received by editor(s): April 6, 2005
Received by editor(s) in revised form: November 2, 2005
Posted: October 2, 2006
Additional Notes: This research was partially supported by Estonian Science Foundation Grant 5704
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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