Buscador de Tesis y publicaciones académicas

Quasi-representations of Finsler modules over C*-algebras

Amyari, M. · Chakoshi, M. · Moslehian, M. S.

We show that every Finsler module over a $C^*$-algebra has a quasi-representation into the Banach space $\mathbb{B}(\mathscr{H},\mathscr{K})$ of all bounded linear operators between some Hilbert spaces $\mathscr{H}$ and $\mathscr{K}$. We define the notion of completely positive $φ$-morphism and establish a Stinespring...

Weighted Mourre's commutator theory, application to Schroedinger operators with oscillating potential

Golenia, Sylvain · Jecko, Thierry

We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption principle for Schrödinger operators with a perturbed Wigner-Von Neumann potential at suitable energies. To our knowledge, this result is new since we allow a long range pertubation of the Wigner-Von Neumann potential. Furth...

Ground states of semi-relativistic Pauli-Fierz and no-pair Hamiltonians in QED at critical Coulomb coupling

Könenberg, Martin · Matte, Oliver

We consider the semi-relativistic Pauli-Fierz Hamiltonian and a no-pair model of a hydrogen-like atom interacting with a quantized photon field at the respective critical values of the Coulomb coupling constant. For arbitrary values of the fine-structure constant and the ultra-violet cutoff, we prove the existence of n...

The Giesy-James theorem for general index p, with an application to operator ideals on the p^th James space

Bird, Alistair · Jameson, Graham · Laustsen, Niels

A theorem of Giesy and James states that $c_0$ is finitely representable in James' quasi-reflexive Banach space $J_2$. We extend this theorem to the $p$th quasi-reflexive James space $J_p$ for each $p \in (1,\infty)$. As an application, we obtain a new closed ideal of operators on $J_p$, namely the closure of the set o...

The crossed-product structure of C*-algebras arising from topological dynamical systems

Farthing, Cynthia · Patani, Nura · Willis, Paulette N.

We show that every topological k-graph constructed from a locally compact Hausdorff space Ω and a family of pairwise commuting local homeomorphisms on Ω satisfying a uniform boundedness condition on the cardinalities of inverse images may be realized as a semigroup crossed product in the sense of Larsen.

On the operator-valued analogues of the semicircle, arcsine and Bernoulli laws

Belinschi, Serban T. · Popa, Mihai · Vinnikov, Victor

We study of the connection between operator valued central limits for monotone, Boolean and free probability theory, which we shall call the arcsine, Bernoulli and semicircle distributions, respectively. In scalar-valued non-commutative probability these measures are known to satisfy certain arithmetic relations with r...

Isomorphisms of noncommutative domain algebras. II

Arias, Alvaro · Latremoliere, Frederic

This paper extends the results of the previous work of the authors on the classification on noncommutative domain algebras up to completely isometric isomorphism. Using Sunada's classification of Reinhardt domains in $C^n$, we show that aspherical noncommutative domain algebras are isomorphic if and only if their defin...

Module weak Banach-Saks and module Schur properties of Hilbert C*-modules

Frank, Michael · Pavlov, Alexander A.

Continuing the research on the Banach-Saks and Schur properties started in (cf. M. Frank, A. A. Pavlov, Banach-Saks properties of C*-algebras and Hilbert C*-modules (submitted)) we investigate analogous properties in the module context. As an environment serves the class of Hilbert C*-modules. Some properties of weak m...

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Frankenstein, Dr

DFT calculation using VASP for CoNiCuRu

KENTECH, metalab

Includes DFT trajectories about 2x2, 4 layered slab + adsorbate(NO) 3x3, 6 layered slab 4x4x4 layered bulk And the Universal Models for Atoms (UMA) checkpoint fine-tuned on 2x2, 4 layered slab + adsorbate dataset