Two properties of Müntz spaces

• Autorzy: Abrahamsen T. A. , Leraand A. , Martiny A. , Nygaard O.

Identyfikatory

DOI

10.1515/dema-2017-0025

• Języki publikacji: EN

Abstrakty

EN

We show that Müntz spaces, as subspaces of C[0, 1], contain asymptotically isometric copies of c0 and that their dual spaces are octahedral.

Słowa kluczowe

EN

Müntz space; asymptotically isometric copy of c0; octahedral space; diameter 2 properties

PL

przestrzeń Müntza; przestrzeń ośmioboczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 239--244
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Abrahamsen T. A.

• Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway

autor

Leraand A.

• Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway

autor

Martiny A.

• Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway

autor

Nygaard O.

• Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway

Bibliografia

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• [4] Deville R., A dual characterization of the existence of small combination of slices, Bull. Austr. Math. Soc., 1988, 37(1), 113–120
• [5] Godefroy G., Metric characterizations of first Baire class linear forms and octahedral norms, Studia Math., 1989, 95(1), 1–15
• [6] Becerra Guerrero J., López-Pérez G., Rueda Zoca A., Octahedral norms and convex combination of slices in Banach spaces, J. Funct. Anal., 2014, 266(4), 2424-–2435
• [7] Haller R., Langemets J., Põldvere M., On duality of diameter 2 properties, J. Convex Anal., 2015, 22(2), 465–482
• [8] Harmand P., Werner D., Werner W., M-Ideals in Banach Spaces and Banach Algebras, Lecture Notes in Math., 1547, Springer, Berlin-Heidelberg-New York, 1993
• [9] Gurariy V., Lusky W., Geometry of Müntz spaces and related questions, Lecture Notes in Math., 1870, Springer-Verlag, Berlin, 2005
• [10] Petráček P., Geometry of Müntz spaces, in WDS’12 Proceedings of Contributed Papers: Part I - Mathematics and Computer Sciences (eds. J. Safrankova and J. Pavlu), Prague, Matfyzpress, 2012, 31–35
• [11] Dowling P. N., Johnson W. B., Lennard C. J., Turett B., The optimality of James’s distortion theorems, Proc. Amer. Math. Soc., 1997, 125(1), 167–174
• [12] Abrahamsen T. A., Lima V., Nygaard O., Troyanski S., Diameter two properties, Convexity and smoothness, Milan J. Math., 2016, 84(2), 231–242
• [13] Dilworth S. J., Girardi M., Hagler J., Dual Banach spaces which contain an isometric copy of L1, Bull. Polish Acad. Sci. Math., 2000, 48(1), 1–12
• [14] Werner D., A remark about Müntz spaces spaces, http://page.mi.fu-berlin.de/werner99/preprints/muentz.pdf.
• [15] Yagoub-Zidi Y., Some isometric properties of subspaces of function spaces, Mediterr. J. Math., 2013, 10, 1905—1915

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).