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Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space

Topology and Its Applications, 2008
We prove the equivalence of the two important facts about finite metric spaces and universal Urysohn metric spaces U, namely Theorems A and G: Theorem A (Approximation): The group of isometry ISO(U) contains everywhere dense locally finite subgroup ...
Vershik, A.M.
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Restrictions of Self-Adjoint Partial Isometries

Periodica Mathematica Hungarica, 1997
The aim of this short note is to provide a necessary and sufficient condition for a suboperator to have a selfadjoint partial isometry extension.
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Semigroups of Partial Isometries and Symmetric Operators

Integral Equations and Operator Theory, 2011
From the author's abstract: Let \(\{ V(t)\mid t \in [0 , \infty) \}\) be a one-parameter strongly continuous semigroup of contractions on a separable Hilbert space and let \(V(-t) : = V^{*}(t)\) for \(t \in [0, \infty)\). It is shown that, if \(V(t)\) is a partial isometry for all \(t \in [-t_0 , t_0]\), \(t_0 > 0\), then the pointwise two-sided ...
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Unitary extensions of partial isometries

Mathematische Nachrichten, 2011
Let \((A,B)\) be a pair of partial isometries with domains \(\mathcal D_A\), \(\mathcal D_B\) and ranges \(\mathcal R_A\), \(\mathcal R_B\), respectively, closed subspaces of a Hilbert space \(\mathcal H\). A commuting unitary extension of \((A,B)\) is a pair \((\widetilde{A},\widetilde{B})\) of commuting unitary operators \(\widetilde{A}\) and ...
Amoretti, Nieves, Domínguez, Marisela
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(A, m)-partial isometries in semi-Hilbertian spaces

Linear and Multilinear Algebra, 2023
Adel Saddi, Fatma Mahmoudi
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Star Order and Partial Isometries in $$\boldsymbol{C}^{\mathbf{\ast}}$$-Algebras

Lobachevskii Journal of Mathematics, 2021
Jan Hamhalter, Ekaterina Turilova, Hamhalter J   +2 more
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On the Semigroup of Partial Isometries of a Finite Chain

Communications in Algebra, 2016
A Umar
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Partial isometries: Factorization and connected components

Integral Equations and Operator Theory, 2000
Mostafa Mbekhta, Skhiri Haïkel
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Partial isometries

1974
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Decomposition of partial isometries with finite ascent

Advances in Operator Theory, 2019
E H Zerouali
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