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math.FA2013★ 2 cited
A new resolvent equation for the S-functional calculus
Daniel Alpay, Fabrizio Colombo, Jonathan Gantner +1
The S-functional calculus is a functional calculus for -tuples of non necessarily commuting operators that can be considered a higher dimensional version of the classical Ri…
math.FA2013
Inner product spaces and Krein spaces in the quaternionic setting
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
In this paper we provide a study of quaternionic inner product spaces. This includes ortho-complemented subspaces, fundamental decompositions as well as a number of results of topo…