ESTONIAN ACADEMY
PUBLISHERS
eesti teaduste
akadeemia kirjastus
PUBLISHED
SINCE 1952
 
Proceeding cover
proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2020): 1.045

Sums of slices in direct sums of Banach spaces; pp. 8–10

Full article in PDF format | doi: 10.3176/proc.2014.1.03

Author
Eve Oja

Abstract

Motivated by recent studies on the strong diameter 2 property, we exhibit a simple reason why, in many direct sums of Banach spaces, the arithmetic mean of two slices may have diameter less than 2.


References

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2. Acosta, M. D., Becerra Guerrero, J., and López Pérez, G. Stability results of diameter two properties. J. Conv. Anal. (to appear).

3. Day, M. M. Normed Linear Spaces, Third Ed. Springer, Berlin–Heidelberg, 1973.
http://dx.doi.org/10.1007/978-3-662-09000-8

4. Haller, R. and Langemets, J. Two remarks on diameter 2 properties. Proc. Estonian Acad. Sci., 2014, 63, 2–7.

5. Lindenstrauss, J. and Tzafriri, L. Classical Banach Spaces II: Function Spaces. Springer, Berlin–Heidelberg, 1979.
http://dx.doi.org/10.1007/978-3-662-35347-9


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