12 citations · 14 across the 5 of their papers we have counts for
5 papers
On the relation between S-spectrum and right spectrum
LuÍs Carvalho, Cristina Diogo, Sérgio Mendes +1
We use the -linearity of to define , the right spectrum of a right -linear operator in a right quaternionic Hilbert space. We show that $σ(…
A note on the essential numerical range of block diagonal operators
Luís Carvalho, Cristina Diogo, Sérgio Mendes +1
In this note we characterize the essential numerical range of a block diagonal o\-pe\-ra\-tor in terms of the numerical ranges of its components.…
On the convexity of the quaternionic essential numerical range
Luís Carvalho, Cristina Diogo, Sérgio Mendes +1
The numerical range in the quaternionic setting is, in general, a non convex subset of the quaternions. The essential numerical range is a refinement of the numerical range that on…
Monads on projective varieties
Simone Marchesi, Pedro Macias Marques, Helena Soares
We generalise Fløystad's theorem on the existence of monads on the projective space to a larger set of projective varieties. We consider a variety , a line bundle on , an…
Schwarzenberger bundles on smooth projective varieties
Enrique Arrondo, Simone Marchesi, Helena Soares
We define Schwarzenberger bundles on any smooth projective variety X. We introduce the notions of jumping pairs of a Steiner bundle E on X and determine a bound for the dimension o…