3 papers
math.DG2025
Hidden symmetries and the generic spectral setting of generalized laplacians on homogeneous spaces
Diego S. De Oliveira, Marcus A. M. Marrocos
The purpose of this work is to establish the spectral setting of some generalized Laplace operators associated to a generic -invariant metric on a compact homogeneous space $M=G…
math.SP2025
A note about the generic irreducibility of the spectrum of the Laplacian on homogeneous spaces
Diego S. de Oliveira, Marcus A. M. Marrocos
Petrecca and Röser (2018, \cite{Petrecca2019}), and Schueth (2017, \cite{Schueth2017}) had shown that for a generic -invariant metric on certain compact homogeneous spaces $…
math.FA2012
An interplay between the weak form of Peano's theorem and structural aspects of Banach spaces
Cleon S. Barroso, Michel P. Rebouças, Marcus A. M. Marrocos
In this paper we establish some new results concerning the Cauchy-Peano problem in Banach spaces. Firstly, we prove that if a Banach space admits a fundamental biorthogonal sys…