Results 11 to 20 of about 94 (89)
Characterization of pre-idempotent Copulas
Copulas CC for which (CtC)2=CtC{({C}^{t}C)}^{2}={C}^{t}C are called pre-idempotent copulas, of which well-studied examples are idempotent copulas and complete dependence copulas.
Chamnan Wongtawan, Sumetkijakan Songkiat
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Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras [PDF]
In this paper, by establishing free-probabilistic models on the Hecke algebras \(\mathcal{H}\left(GL_{2}(\mathbb{Q}_{p})\right)\) induced by \(p\)-adic number fields \(\mathbb{Q}_{p}\), we construct free probability spaces for all primes \(p\).
Ilwoo Cho
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Some Properties of Operator Valued Frames in Quaternionic Hilbert Spaces
Quaternionic Hilbert spaces play an important role in applied physical sciences especially in quantum physics. In this paper, the operator valued frames on quaternionic Hilbert spaces are introduced and studied.
Guoqing Hong, Pengtong Li
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Partial orders on partial isometries [PDF]
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
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All partial breakings in N=2 $$ \mathcal{N}=2 $$ supergravity with a single hypermultiplet
We consider partial supersymmetry breaking in N=2 $$ \mathcal{N}=2 $$ supergravity coupled to a single vector and a single hypermultiplet. This breaking pattern is in principle possible if the quaternion-Kähler space of the hypermultiplet admits (at ...
Ignatios Antoniadis +3 more
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Extensions of $ C^*$-algebras by partial isometries [PDF]
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Lebedev, A. V., Odzievich, A.
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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
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A -partial isometries and generalized inverses
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
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Nontrivial isometries on sp(α)
sp(α) is a Banach space of sequences x with ‖x‖=(∑i=0∞|xi|p+α∑i=0∞|xi+1−xi|p)1/p.
Stephen L. Campbell
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Partial Isometries and EP Elements in Banach Algebras
New characterizations of partial isometries and EP elements in Banach algebra are presented.
Dijana Mosić, Dragan S. Djordjević
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