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Information Journal Paper

Title

THE APPROXIMATE HYPERPLANE SERIES PROPERTY AND RELATED PROPERTIES

Author(s)

 ACOSTA MARIA D. | ARON RICHARD MARTIN | GARCIA PACHECO FRANCISCO JAVIER

Pages

  295-310

Abstract

 We show that the approximate hyperplane series property consequence, we obtain that the class of spaces Y such that the pair (l1,Y) has the Bishop-Phelps-Bollobas property for operators is stable under finite lp-sums for 1≤p<∞. We also deduce that every Banach space of dimension at least 2 can be equivalently renormed to have the AHSp but to fail Lindenstrauss’ property b. We also show that every infinite-dimensional Banach space admitting an equivalent strictly convex norm also admits such an equivalent norm failing the AHSp.

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    APA: Copy

    ACOSTA, MARIA D., ARON, RICHARD MARTIN, & GARCIA PACHECO, FRANCISCO JAVIER. (2017). THE APPROXIMATE HYPERPLANE SERIES PROPERTY AND RELATED PROPERTIES. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 11(2), 295-310. SID. https://sid.ir/paper/317087/en

    Vancouver: Copy

    ACOSTA MARIA D., ARON RICHARD MARTIN, GARCIA PACHECO FRANCISCO JAVIER. THE APPROXIMATE HYPERPLANE SERIES PROPERTY AND RELATED PROPERTIES. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2017;11(2):295-310. Available from: https://sid.ir/paper/317087/en

    IEEE: Copy

    MARIA D. ACOSTA, RICHARD MARTIN ARON, and FRANCISCO JAVIER GARCIA PACHECO, “THE APPROXIMATE HYPERPLANE SERIES PROPERTY AND RELATED PROPERTIES,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 11, no. 2, pp. 295–310, 2017, [Online]. Available: https://sid.ir/paper/317087/en

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