Near-isometries of the unit sphere

Author:

Vestfrid I. A.ORCID

Abstract

UDC 517.5We approximate ε -isometries of the unit sphere in 2 n and n by linear isometries.

Publisher

Institute of Mathematics National Academy of Sciences of Ukraine

Reference12 articles.

1. Benyamini, Yoav; Lindenstrauss, Joram. Geometric nonlinear functional analysis. Vol. 1. American Mathematical Society Colloquium Publications, 48. American Mathematical Society, Providence, RI, 2000. xii+488 pp. ISBN: 0-8218-0835-4 https://bookstore.ams.org/coll-48/

2. Ding, GuangGui. On isometric extension problem between two unit spheres. Sci. China Ser. A. 52, no. 10, 2069--2083 (2009). https://doi.org/10.1007/s11425-009-0156-x

3. Kalton, N. J. A remark on quasi-isometries. Proc. Amer. Math. Soc. 131, no. 4, 1225--1231 (2003). https://doi.org/10.1090/S0002-9939-02-06663-7

4. Matoušková, Eva. Almost isometries of balls. J. Funct. Anal. 190, no. 2, 507--525 (2002). https://doi.org/10.1006/jfan.2001.3862

5. S. Mazur, S. Ulam, Sur les transformations isométriques d’espaces vectoriels normés, Comp. Rend. Paris, 194, 946--948 (1932). https://www.scirp.org/(S(lz5mqp453edsnp55rrgjct55))/reference/ReferencesPapers.aspx?ReferenceID=2355725

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