On complemented versions of James’s distortion theorems
Authors:
William B. Johnson and Narcisse Randrianantoanina
Journal:
Proc. Amer. Math. Soc. 135 (2007), 2751-2757
MSC (2000):
Primary 46B20, 46B25:; Secondary 46B03, 46B45
DOI:
https://doi.org/10.1090/S0002-9939-07-08775-8
Published electronically:
March 30, 2007
MathSciNet review:
2317949
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Examples are given to show that two natural questions asked in Dowling, Randrianantoanina, and Turett, 1999, about complemented versions of James’s distortion theorems have negative answers.
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Additional Information
William B. Johnson
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843
MR Author ID:
95220
Email:
johnson@math.tamu.edu
Narcisse Randrianantoanina
Affiliation:
Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056
Email:
randrin@muohio.edu
Keywords:
$\ell _1$,
$c_0$,
renorming,
James’s distortion theorems
Received by editor(s):
January 10, 2006
Received by editor(s) in revised form:
May 1, 2006
Published electronically:
March 30, 2007
Additional Notes:
The first author’s research was partially supported by NSF DMS–0503688
The second author’s research was partially supported by NSF DMS–0456781.
Communicated by:
N. Tomczak-Jaegermann
Article copyright:
© Copyright 2007
by the authors
