Results 51 to 60 of about 94 (89)
A characterization of the class of partial isometries
Let \(S\) be a self-adjoint invertible operator acting on a Hilbert space. The Corach-Porta-Recht inequality states that \(\|SXS^{-1} + S^{-1}XS\| \geq 2\|X\|\) holds true for every bounded linear operator~\(X\). Several authors have considered the case of equality and, more generally, characterized subclasses of normal operators by inequalities or ...
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On partial isometries with no isometric part [PDF]
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Ordered $*$-Semigroups and a $C^*$-Correspondence for a Partial Isometry
Certain $*$-semigroups are associated with the universal $C^*$-algebra generated by a partial isometry, which is itself the universal $C^*$-algebra of a $*$-semigroup. A fundamental role for a $*$-structure on a semigroup is emphasized, and ordered and matricially ordered $*$-semigroups are introduced, along with their universal $C^*$-algebras.
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Decomposition theorems for partial isometries
Erdelyi, I, Miller, F.R
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Semigroups of partial isometries [PDF]
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Decomposition of Semi-Groups of Partial Isometries [PDF]
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Restrictions of partial isometries II
Periodica Mathematica Hungarica, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Z SebestyƩn
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On a Generalization of Partial Isometries in Banach Spaces
Georgian Mathematical Journal, 2008Abstract This paper is concerned with the definition and study of semipartial isometries on Banach spaces. This class of operators, which is a natural generalization of partial isometries from Hilbert to general Banach spaces, contains in particular the class of partial isometries recently introduced by M. Mbekhta [Acta Sci.
Mohamed Aziz Taoudi
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