Results 271 to 280 of about 9,067 (308)

On the Second Parameter of an (m, p)-Isometry

Integral Equations and Operator Theory, 2011
A bounded linear operator T on a Banach space X is called an (m, p)-isometry if it satisfies the equation TeX , for all TeX . In this paper we study the structure which underlies the second parameter of (m, p)-isometric operators.
Micheal O Searcoid
exaly   +3 more sources

Polish ultrametric Urysohn spaces and their isometry groups

Topology and Its Applications, 2011
In this paper we give some new constructions of Polish ultrametric Urysohn spaces and investigate the universality properties of their isometry groups.
Su Gao
exaly   +2 more sources

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Norms, Isometries, and Isometry Groups

The American Mathematical Monthly, 2000
The study of linear algebra has become more and more popular in the last few decades. People are attracted to this subject because of its beauty and its connections with many other pure and applied areas. In theoretical development of the subject as well as in many applications, one often needs to measure the “length” of vectors. For this purpose, norm
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QUASI-ISOMETRIES AND BICOMBINGS

International Journal of Algebra and Computation, 1993
It is not known if bicombability of a group is invariant under quasi-isometry, although Hamish Short has shown that combability is. We give an alternative definition of a bicombable group (equivalent to Short’s), and show that bicombability is invariant under a certain kind of quasi-isometry.
H.-L. Huynh, W. Y. Poon
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Isometry Groups and Geodesic Foliations of Lorentz Manifolds. Part II: Geometry of Analytic Lorentz Manifolds with Large Isometry Groups

Geometric and Functional Analysis, 1999
This is Part II of a series on noncompact isometry groups of Lorentz manifolds. We have introduced in Part I, a compactification of these isometry groups, and called "bi-polarized" those Lorentz manifolds having a "trivial " ...
Abdelghani Zeghib, Zeghib, A.
exaly   +2 more sources

Quasi-Isometries of Hyperbolic Space are Almost Isometries

Proceedings of the American Mathematical Society, 1995
In this paper we show that for n ≥ 3
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The isometries ofC p

Israel Journal of Mathematics, 1975
Theorem.Let 1≦p≦∞,p ≠ 2, and let V be an isometry of Cp onto itself. Then there exist two unitary operators u and w on l2 so that V acts on Cp in one of the following forms:\((i) Vx = u \cdot x \cdot w; (ii) Vx = u \cdot x^T \cdot w\) (where xT is the transpose of x).
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Properties of Isometries and Approximate Isometries

1998
In the present paper an analysis of quasi-isometric mappings and almost isometries of function algebras is provided. In addition the A. D. Aleksandrov problem of conservative distances is studied and new open problems are discussed.
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Properties of Unitary Quasi-Equivalence on Isometry, Co-Isometry, and Partial Isometry Operators

Anyembe Lilian, Musundi Sammy Wabomba, Kinyanjui Jeremiah Ndung’u   +2 more
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Isometries of Spaces with Torsion

Journal of Mathematical Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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