## Advances in Operator Theory

### The AHSp is inherited by $E$-summands

Francisco García-Pacheco

#### Abstract

In this short note we prove that the Approximate Hyperplane Series property (AHSp) is hereditary to $E$-summands via characterizing the $E$-projections.

#### Article information

Source
Adv. Oper. Theory, Volume 2, Number 1 (2017), 17-20.

Dates
Received: 15 October 2016
Accepted: 30 December 2016
First available in Project Euclid: 4 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.aot/1512431511

Digital Object Identifier
doi:10.22034/aot.1610.1033

Mathematical Reviews number (MathSciNet)
MR3730352

Zentralblatt MATH identifier
1377.46006

#### Citation

García-Pacheco, Francisco. The AHSp is inherited by $E$-summands. Adv. Oper. Theory 2 (2017), no. 1, 17--20. doi:10.22034/aot.1610.1033. https://projecteuclid.org/euclid.aot/1512431511

#### References

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• M. D. Acosta, R. M. Aron, and F. J. García-Pacheco, The approximate hyperplane series property and related properties, Banach J. Math. Anal. (to appear).
• Y. S. Choi, S. K. Kim, H. J. Lee, and M. Martín, On Banach spaces with the approximate hyperplane series property, Banach J. Math. Anal. 9 (2015), no. 4, 243–258.