Results 11 to 20 of about 1,411 (284)

Restricted p-Isometry Properties of Partially Sparse Signal Recovery [PDF]

Discrete Dynamics in Nature and Society, 2013
By generalizing the restricted p-isometry property to the partially sparse signal recovery problem, we give a sufficient condition for exactly recovering partially sparse signal via the partial lp minimization (truncated lp minimization) problem with p ...
Haini Bi, Lingchen Kong, Naihua Xiu
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Split Partial Isometries [PDF]

Complex Analysis and Operator Theory, 2011
Let \(\mathcal H\) be a Hilbert space and \({\mathcal B}({\mathcal H})\) denote the space of bounded operators on \(\mathcal H\). For \(A \in {\mathcal B}({\mathcal H})\), let \(R(A)\) denote its range space and \(N(A)\) be its null space. \(T \in {\mathcal B}({\mathcal H})\) is called a partial isometry if \(T\) is an isometry between \(N(T)^{\perp}\)
Andruchow, Esteban, Corach, Gustavo, Mbekhta, Mostafa   +2 more
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The C*-algebra of a partial isometry [PDF]

Proceedings of the American Mathematical Society, 2011
The universal C*-algebra generated by a partial isometry is a non-unital residually finite dimensional C*-algebra which is not exact. Many unitarily inequivalent partial isometries generating any given finite dimensional full matrix algebra are constructed. The
Brenken, Berndt, Niu, Zhuang
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PARTIAL ISOMETRIES OF A SUB-RIEMANNIAN MANIFOLD [PDF]

International Journal of Mathematics, 2012
In this article, we obtain the following generalization of isometric C1-immersion theorem of Nash and Kuiper. Let M be a smooth manifold of dimension m and H a rank k subbundle of the tangent bundle TM with a Riemannian metric gH. Then the pair (H, gH) defines a sub-Riemannian structure on M.
MAHUYA DATTA
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Which Operators are Similar to Partial Isometries? [PDF]

Proceedings of the American Mathematical Society, 1976
Let H \mathcal {H} denote a separable, infinite dimensional complex
L. A. Fialkow
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A characterization of the class of partial isometries

Linear Algebra and its Applications, 2012
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 ...
Khosravi, Maryam
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Partial orders on partial isometries [PDF]

Journal of Operator Theory, 2016
This paper studies three natural pre-orders of increasing generality on the set of all completely non-unitary partial isometries with equal defect indices. We show that the problem of determining when one partial isometry is less than another with respect to these pre-orders is equivalent to the existence of a bounded (or isometric) multiplier between ...
Garcia, Stephan Ramon, Martin, Robert T. W., Ross, William T.   +2 more
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Geometry of Fisher Information Metric and the Barycenter Map

Entropy, 2015
Geometry of Fisher metric and geodesics on a space of probability measures defined on a compact manifold is discussed and is applied to geometry of a barycenter map associated with Busemann function on an Hadamard manifold \(X\).
Mitsuhiro Itoh, Hiroyasu Satoh
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Extensions of $ C^*$-algebras by partial isometries [PDF]

Sbornik: Mathematics, 2004
28 ...
Lebedev, A. V., Odzievich, A.
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On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero

Topological Algebra and its Applications, 2022
Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of ...
Gutik Oleg, Khylynskyi Pavlo
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