A direct approach to the S-functional calculus for closed operators

zbMath1424.47040arXiv1602.03910MaRDI QIDQ4978093

Jonathan Gantner

Publication date: 17 August 2017

Full work available at URL: https://arxiv.org/abs/1602.03910

zbMATH Keywords

\(S\)-functional calculusquaternionic operators\(n\)-tuples of operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60)

Related Items (9)

Fractional powers of quaternionic operators and Kato’s formula using slice hyperholomorphicity ⋮ Fredholm theory in quaternionic Banach algebras ⋮ An Introduction to Fractional Powers of Quaternionic Operators and New Fractional Diffusion Processes ⋮ Slice monogenic functions of a Clifford variable via the 𝑆-functional calculus ⋮ An application of the \(S\)-functional calculus to fractional diffusion processes ⋮ Borel functional calculus for quaternionic normal operators ⋮ Fractional powers of vector operators and fractional Fourier’s law in a Hilbert space ⋮ Perturbation of normal quaternionic operators ⋮ Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators

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