11 citations · 23 across the 14 of their papers we have counts for
15 papers
On Rieffel's conjecture characterizing a deformed algebra as Heisenberg smooth operators
Rodrigo A. H. M. Cabral, Severino T. Melo
Let be a unital C-algebra and be the Hilbert -module defined as the completion of the -valued Schwartz function space $\mathcal{S}…
Differential Norms and Rieffel Algebras
Rodrigo A. H. M. Cabral, Michael Forger, Severino T. Melo
We develop criteria to guarantee uniqueness of the C-norm on a *-algebra . Nontrivial examples are provided by the noncommutative algebras of -valued…
The principal-symbol index map for an algebra of pseudodifferential operators
Severino T. Melo
A C*algebra A generated by a class of zero-order classical pseudodifferential operator on a cylinder RxB, where B is a compact riemannian manifold, containing operators with period…
Operators with analytic orbit for the torus action
Rodrigo A. H. M. Cabral, Severino T. Melo
Let denote the n-dimensional torus. The class of the bounded operators on with analytic orbit under the action of by conjugation with the translation operato…
-Theory of Boutet de Monvel algebras with classical SG-symbols on the half space
Pedro T. P. Lopes, Severino T. Melo
We compute the -groups of the -algebra of bounded operators generated by the Boutet de Monvel operators with classical SG-symbols of order (0,0) and type 0 on $\mathbb{R}…
C*-Algebra approach to the index theory of boundary value problems
Severino Melo, Elmar Schrohe, Thomas Schick
Boutet de Monvel's calculus provides a pseudodifferential framework which encompasses the classical differential boundary value problems. In an extension of the concept of Lopatins…