Isometric approximation

2001 ◽  
Vol 125 (1) ◽  
pp. 61-82 ◽  
Author(s):  
P. Alestalo ◽  
D. A. Trotsenko ◽  
J. Väisälä
Keyword(s):  
Isometric Approximation

Isometric approximation property in euclidean spaces

2002 ◽  
Vol 128 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Jussi Väisälä
Keyword(s):  
Approximation Property ◽  
Euclidean Spaces ◽  
Isometric Approximation

scholarly journals Partially isometric approximation of positive operators

1989 ◽  
Vol 33 (2) ◽  
pp. 227-243 ◽  
Author(s):  
P. J. Maher
Keyword(s):  
Positive Operators ◽  
Isometric Approximation

scholarly journals Hyers-Ulam stability of isometries on bounded domains

2021 ◽  
Vol 19 (1) ◽  
pp. 675-689
Author(s):  
Soon-Mo Jung
Keyword(s):  
Approximation Property ◽  
Bounded Domains ◽  
Ulam Stability ◽  
Euclidean Spaces ◽  
Efficient Approach ◽  
Isometric Approximation

Abstract More than 20 years after Fickett attempted to prove the Hyers-Ulam stability of isometries defined on bounded subsets of R n {{\mathbb{R}}}^{n} in 1981, Alestalo et al. [Isometric approximation, Israel J. Math. 125 (2001), 61–82] and Väisälä [Isometric approximation property in Euclidean spaces, Israel J. Math. 128 (2002), 127] improved Fickett’s theorem significantly. In this paper, we will improve Fickett’s theorem by proving the Hyers-Ulam stability of isometries defined on bounded subsets of R n {{\mathbb{R}}}^{n} using a more intuitive and more efficient approach that differs greatly from the methods used by Alestalo et al. and Väisälä.

ISOMETRIC APPROXIMATION FROM 2-DIM BANACH SPACE INTO L 1 [0, 1]

1994 ◽  
Vol 14 ◽  
pp. 46-52
Author(s):  
Qinghong Zhang
Keyword(s):  
Banach Space ◽  
Isometric Approximation

scholarly journals Isometric approximation property of unbounded sets

2003 ◽  
Vol 43 (3-4) ◽  
pp. 359-372 ◽  
Author(s):  
Jussi Väisälä
Keyword(s):  
Approximation Property ◽  
Isometric Approximation
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