Results 11 to 20 of about 1,117 (243)
Endomorphisms of the Toeplitz algebra
Учёные записки Казанского университета: Серия Физико-математические науки, 2023 This article describes all injective endomorphisms of the classical Toeplitz algebra. Their connection with endomorphisms of the algebra of continuous functions on the unit circle and with coverings over the unit circle was considered.
S. A. Grigoryan, A. Yu. Kuznetsova
doaj +1 more source
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 +2 more
openaire +2 more sources
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
doaj +1 more source
Extensions of $ C^*$-algebras by partial isometries [PDF]
Sbornik: Mathematics, 2004 28 ...
Lebedev, A. V., Odzievich, A.
openaire +3 more sources
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
doaj +1 more source
Crossed Product of a C*-Algebra by a Semigroup of Interactions
Demonstratio Mathematica, 2014 The paper presents a construction of the crossed product of a C*-algebra by a commutative semigroup of bounded positive linear maps generated by partial isometries.
Kwaśniewski B. K.
doaj +1 more source
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 +2 more
openaire +2 more sources
C *-algebras generated by partial isometries [PDF]
Journal of Applied Mathematics and Computing, 2008 In this paper, we characterize the C*-Algebra generated by partial isometries.
Cho, Ilwoo, Jorgensen, Palle
openaire +2 more sources
A -partial isometries and generalized inverses
Linear Algebra and its Applications, 2013 Let \(A\) be a positive operator in \(B(H)\). One may consider the semi-inner product \(\langle x,y\rangle_A:=\langle Ax, y\rangle\). An operator \(T\in B(H)\) is called \(A\)-adjointable if it is adjointable with respect to \(\langle \cdot,\cdot\rangle_A\). Clearly, an \(A\)-adjoint \(T^\#\) of \(T\) exists if and only if \(AT^\#=T^*A\). Similarly, by
Arias, Maria Laura, Mbekhta, Mostafa
openaire +3 more sources
Towards the non-perturbative cosmological bootstrap
Journal of High Energy Physics, 2023 We study quantum field theory on a de Sitter spacetime dS d+1 background. Our main tool is the Hilbert space decomposition in irreducible unitary representations of its isometry group SO(d + 1, 1). As the first application of the Hilbert space formalism,
Matthijs Hogervorst +2 more
doaj +1 more source