Articulos(IAM)
http://hdl.handle.net/11336/453
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"Fri, 13 Dec 2019 01:20:10 GMT2019-12-13T01:20:10ZYang–Baxter operators in symmetric categories
http://hdl.handle.net/11336/88490
Yang–Baxter operators in symmetric categories
Guccione, Jorge Alberto; Guccione, Juan Jose; Vendramin, Claudio Leandro
We introduce non-degenerate solutions of the Yang–Baxter equation in the setting of symmetric monoidal categories. Our theory includes non-degenerate set-theoretical solutions as basic examples. However, infinite families of non-degenerate solutions (that are not of set-theoretical type) appear. As in the classical theory of Etingof, Schedler, and Soloviev, non-degenerate solutions are classified in terms of invertible 1-cocycles. Braces and matched pairs of cocommutative Hopf algebras (or braiding operators) are also generalized to the context of symmetric monoidal categories and turn out to be equivalent to invertible 1-cocycles.
Sun, 01 Jul 2018 00:00:00 GMThttp://hdl.handle.net/11336/884902018-07-01T00:00:00ZOn partial isometries in C*-algebras
http://hdl.handle.net/11336/88447
On partial isometries in C*-algebras
Arias, Maria Laura; Mbekhta, Mostafa
We study similarity to partial isometries in C*-algebras as well as their relationship with generalized inverses. Most of the results extend some recent results regarding partial isometries on Hilbert spaces. Moreover, we describe partial isometries by means of interpolation polynomials.
Sat, 01 Jan 2011 00:00:00 GMThttp://hdl.handle.net/11336/884472011-01-01T00:00:00ZOblique Projections and Sampling Problems
http://hdl.handle.net/11336/88445
Oblique Projections and Sampling Problems
Corach, Gustavo; Giribet, Juan Ignacio
In this work, the consistent sampling requirement of signals is studied. We establish how this notion is related with certain set of projectors which are selfadjoint with respect to a semi-inner product. We extend previous results and present some new problems related with sampling theory.
Fri, 01 Jul 2011 00:00:00 GMThttp://hdl.handle.net/11336/884452011-07-01T00:00:00ZThe iterated Aluthge transforms of a matrix converge
http://hdl.handle.net/11336/88443
The iterated Aluthge transforms of a matrix converge
Antezana, Jorge Abel; Pujals, Enrique; Stojanoff, Demetrio
Given an r×r complex matrix T, if T=U|T| is the polar decomposition of T, then, the Aluthge transform is defined by. Δ(T)=|T|1/2U|T|1/2. Let Δn(T) denote the n-times iterated Aluthge transform of T, i.e., Δ0(T)=T and Δn(T)=Δ(Δn-1(T)), nεN. We prove that the sequence {Δn(T)}nεN converges for every r×r matrix T. This result was conjectured by Jung, Ko and Pearcy in 2003. We also analyze the regularity of the limit function.
Sat, 01 Jan 2011 00:00:00 GMThttp://hdl.handle.net/11336/884432011-01-01T00:00:00Z