Denting points in tensor products of Banach spaces

Author:
Dirk Werner

Journal:
Proc. Amer. Math. Soc. **101** (1987), 122-126

MSC:
Primary 46B20; Secondary 46M05

DOI:
https://doi.org/10.1090/S0002-9939-1987-0897081-1

MathSciNet review:
897081

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Abstract: Let dent denote the set of denting points of a subset of some Banach space. We prove

**[1]**J. Bourgain and G. Pisier,*A construction of**-spaces and related Banach spaces*, Bol. Soc. Brasil. Mat.**14**(1983), 109-123. MR**756904 (86b:46021)****[2]**R. D. Bourgin,*Geometric aspects of convex sets with the Radon-Nikodým property*, Lecture Notes in Math., Vol. 993, Springer-Verlag, Berlin and New York, 1983. MR**704815 (85d:46023)****[3]**J. Diestel and J. J. Uhl,*Vector measures*, Math. Surveys, no. 15, Amer. Math. Soc., Providence, R.I., 1977. MR**0453964 (56:12216)****[4]**M. Feder and P. Saphar,*Spaces of compact operators and their dual spaces*, Israel J. Math.**21**(1975), 28-49. MR**0377591 (51:13762)****[5]**G. Godefroy,*Nicely smooth Banach spaces*, Longhorn Notes, The University of Texas at Austin Functional Analysis Seminar, 1984-1985, pp. 117-124. MR**832255****[6]**G. Godefroy and P. Saphar,*Duality in spaces of operators and smooth norms on Banach spaces*(to appear). MR**955384 (89j:47026)****[7]**S. Heinrich,*Strongly exposed and conical points in a projective tensor product*, Teor. Funksiĭ Funktsional. Anal. i Prilozhen.**22**(1975), 146-154. (Russian)**[8]**W. M. Ruess and C. P. Stegall,*Weak*-denting points in duals of operator spaces*, Banach Spaces, Proc. Missouri Conf. Columbia 1984, Lecture Notes in Math., Vol. 1166, Springer-Verlag, Berlin and New York, 1986, pp. 158-168. MR**827769 (87k:47096)****[9]**D. Werner and W. Werner,*On the**-structure of the operator space*, Preprint.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1987-0897081-1

Keywords:
Denting point,
tensor product

Article copyright:
© Copyright 1987
American Mathematical Society