5 papers · 1 filter
Spectral projectors of bisectorial Clifford operators and applications to the generalized gradient
Francesco Mantovani, Peter Schlosser
We consider right-linear operators on a right Hilbert module over the Clifford algebra R_n, whose S-spectrum lies in an acute double sector. For these bisectorial operators…
Slice hyperholomorphicity of the -resolvent operators and boundary conditions
Francesco Mantovani
The foundation of spectral theory on the -spectrum can be traced back to the quaternionic framework of quantum mechanics. The concept of -spectrum for quaternionic operators…
The S-functional calculus for the Clifford adjoint operator
F. Colombo, F. Mantovani, P. Schlosser
In this paper, we work within the framework of modules over the Clifford algebra . Our investigation focuses on the S-spectrum and the S-functional calculus in its va…
Quadratic estimates for the -functional calculus of bisectorial Clifford operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
The -functional calculus is a two-step procedure, introduced by A. McIntosh, that allows the definition of functions of sectorial operators in Banach spaces. It plays a c…
The -functional calculus for right slice hyperholomorphic functions and right linear Clifford operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
In 2016, the spectral theory on the -spectrum was used to establish the -functional calculus for quaternionic or Clifford operators. This calculus applies for example…