Results 241 to 250 of about 766 (271)

On a Generalization of Partial Isometries in Banach Spaces

Georgian Mathematical Journal, 2008
Abstract 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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The ranks of certain semigroups of partial isometries

Semigroup Forum, 2018
Let In be the symmetric inverse semigroup on Xn= { 1 , … , n} , and let DPn and ODPn be its subsemigroups of partial isometries and of order-preserving partial isometries on Xn under its natural order, respectively. In this paper we find the ranks of the
Leyla Bugay
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Complex symmetric partial isometries

Journal of Functional Analysis, 2009
An operator $T \in B(\h)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C:\h\to\h$ so that $T = CT^*C$. We provide a concrete description of all complex symmetric partial isometries.
Stephan Ramon Garcia
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On the monoid of partial isometries of a finite star graph [PDF]

Communications in Algebra, 2023
Publisher Copyright: © 2022 Taylor & Francis Group, LLC.In this paper we consider the monoid (Formula presented.) of all partial isometries of a star graph Sn with n vertices. Our main objectives are to determine the rank and to exhibit a presentation of
Vitor H Fernandes, Tania Paulista
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On Algebras Generated by a Partial Isometry

Complex Analysis and Operator Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Luoyi, Zhu, Sen
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Semi-generalized Partial Isometries

Results in Mathematics, 2019
A bounded linear operator \(A\) on a complex Hilbert space \(\mathcal H\) is called a partial isometry if \(A\) preserves the norm of any vector in the orthogonal complement of its null space. It is well known that, if \(A\) is a partial isometry, then the range space of \(A\) is closed and that \(A\) is a contraction operator.
Garbouj, Zied, Skhiri, Haïkel
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The set of partial isometries as a quotient Finsler space [PDF]

Indagationes Mathematicae, 2022
A known general program, designed to endow the quotient space UA/UB of the unitary groups UA, UB of the C∗ algebras B⊂A with an invariant Finsler metric, is applied to obtain a metric for the space I(H) of partial isometries of a Hilbert space H. I(H) is
E Andruchow
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On normal partial isometries

Georgian Mathematical Journal, 2023
Abstract Our aim in this paper is to determine when a partially isometric matrix is normal. However, we do not restrict ourselves to the finite-dimensional case and we describe when a partial isometry in ℬ
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Partial isometries and an invariant of C*-algebras

Acta Mathematica Sinica, English Series, 2011
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Yao, Hong Liang, Fang, Xiao Chun
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C * -subalgebras generated by partial isometries

Journal of Mathematical Physics, 2009
We prove a structure theorem for a finite set G of partial isometries in a fixed countably infinite dimensional complex Hilbert space H. Our result is stated in terms of the C*-algebra generated by G. The result is new even in the case of a single partial isometry which is not an isometry or a coisometry, and in this case, it extends the Wold ...
Cho, Ilwoo, Jorgensen, Palle
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