Results 41 to 50 of about 96 (96)
In this work we characterise the C*-algebras A generated by projections with the property that every pair of projections in A has positive angle, as certain extensions of abelian algebras by algebras of compact operators. We show that this property is equivalent to a lattice theoretic property of projections and also to the property that the set of ...
Anoussis, M. +2 more
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MUMOTT: a Python package for the analysis of multi‐modal tensor tomography data
The MUMOTT Python package facilitates the analysis of small‐ and wide‐angle X‐ray scattering tensor tomography data, using CPU and GPU acceleration to simplify complex computational tasks. Designed for ease of use, extensibility and efficiency, MUMOTT aims to lower barriers to adopting tensor tomography methods within the wider research community.Small‐
Leonard C. Nielsen +6 more
wiley +1 more source
ABSTRACT Objective To evaluate the masking ability of different thicknesses of CAD‐CAM resin‐matrix and feldspar porcelain materials. Materials and Methods Specimens (Ø7.5 mm, thickness 0.5, 1.0, and 1.5 mm, n = 3/material) were fabricated from Lava Ultimate‐LU, Grandio Blocs‐GB, VITA Enamic‐VE, and VITA Mark II‐VM.
Bruno Arruda Mascaro +5 more
wiley +1 more source
We show that if \(A\) and \(B\) are \(\sigma\)-unital, projective \(C^*\)- algebras (star-homomorphisms into \(C^*\)-algebras quotients lift to star-homomorphisms) then \(A\oplus B\) and \(M_ n(A)\) are projective. Corresponding results are proven for semiprojectivity. A corollary is that elements \(h_ 1,\dots, h_ n\) in a quotient \(C/I\) satisfying \[
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Taking limits in topological recursion
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
Parity of ranks of Jacobians of curves
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser +3 more
wiley +1 more source
MARTApp is an open‐source software for magnetic vector reconstruction of the data acquired from magnetic transmission X‐ray microscopy. It automates the tasks of image normalization, alignment, computation of magnetic signal and the reconstruction of quasi‐2D and ‐3D systems.
A. Estela Herguedas-Alonso +6 more
wiley +1 more source
Novel linearization routines within the parameter space concept (PSC) provide an alternative approach to determine one‐dimensionally projected crystal structures from a few diffraction intensities of standard Bragg reflections, represented by piecewise analytic hyper‐surfaces, without the use of Fourier inversion.
Muthu Vallinayagam +3 more
wiley +1 more source
AbstractA C∗-algebra is called nuclear if there is a unique way of forming its tensor product with any other C∗-algebra. Takesaki [17] showed that all C∗-algebras of type I and all inductive limits of such algebras are nuclear, but that the C∗-algebra Cr∗(G) generated by the left regular representation of G on l2(G) is nonnuclear, where G is the free ...
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(APD)–property of $C^*$–algebras by extensions of $C^*$–algebras with (APD) [PDF]
Summary: A unital \(C^*\)-algebra \({\mathcal A}\) is said to have the (APD)-property if every nonzero element in \({\mathcal A}\) has an approximate polar decomposition. Let \({\mathcal J}\) be a closed ideal of \({\mathcal A}\). Suppose that \(\widetilde {\mathcal J}\) and \({\mathcal A}/{\mathcal J}\) have (APD).
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