This is an announcement for the paper "Banach spaces with polynomial numerical index 1" by Han Ju Lee.

Abstract: We characterize Banach spaces with polynomial numerical index 1 when they have the Radon-Nikod'ym property. The holomorphic numerical index is introduced and the characterization of the Banach space with holomorphic numerical index 1 is obtained when it has the Radon-Nikod'ym property.

Archive classification: math.FA

Mathematics Subject Classification: 46G25; 46B20; 46B22

The source file(s), R070723.tex: 25404 bytes, is(are) stored in gzipped form as 0708.0055.gz with size 8kb. The corresponding postcript file has gzipped size 66kb.

Submitted from: hahnju@postech.ac.kr

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http://front.math.ucdavis.edu/0708.0055

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http://arXiv.org/abs/0708.0055

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