$k$-smoothness: an answer to an open problem

  • Paweł Wójcik

Abstract

The aim of this paper is to characterize the $k$-smooth points of the closed unit ball of $\mathcal{K}(\mathcal{H}_1;\mathcal{H}_2)$. In this paper we also answer a question posed by A. Saleh Hamarsheh in 2015.

References

Collins, H. S. and Ruess, W., Weak compactness in spaces of compact operators and of vector-valued functions, Pacific J. Math. 106 (1983), no. 1, 45–71.

Khalil, R. and Saleh, A., Multi-smooth points of finite order, Missouri J. Math. Sci. 17 (2005), no. 2, 76–87.

Lima, Å. and Olsen, G., Extreme points in duals of complex operator spaces, Proc. Amer. Math. Soc. 94 (1985), no. 3, 437–440. https://doi.org/10.2307/2045230

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Saleh Hamarsheh, A., $k$-smooth points in some Banach spaces, Int. J. Math. Math. Sci. (2015), Art. ID 394282, 4 pp. https://doi.org/10.1155/2015/394282

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Published
2018-08-01
How to Cite
Wójcik, P. (2018). $k$-smoothness: an answer to an open problem. MATHEMATICA SCANDINAVICA, 123(1), 85-90. https://doi.org/10.7146/math.scand.a-102834
Section
Articles