Browsing by Author "Dosi, Anar"

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    Taylor Functional Calculus for Supernilpotent Lie Algebra of Operators
    (theta Foundation, 2010) Dosi, Anar; 01. Atılım University
    The present work is motivated by J.L. Taylor's program on noncommutative holomorphic functional calculus within the Lie algebra framework. We propose a sheaf T-g of germs of formally-radical functions in elements of a finite dimensional nilpotent Lie algebra g and prove the functional calculus theorem for an operator family generating a supernilpotent Lie sub-algebra based upon the sheaf T-g. This calculus extends Taylor's holomorphic functional calculus for a mutually commuting operator family.