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math.SP2025
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…
math.SP2025
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…
math.SP2024
An introduction to the fine structures on the -spectrum
Fabrizio Colombo, Antonino De Martino, Stefano Pinton +2
Holomorphic functions are fundamental in operator theory and their Cauchy formula is a crucial tool for defining functions of operators. The Fueter-Sce extension theorem (often cal…