Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators

DOI10.1090/memo/1297zbMath1479.47001arXiv1803.10524OpenAlexW3118466469MaRDI QIDQ4983631

Jonathan Gantner

Publication date: 26 April 2021

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10524

zbMATH Keywords

spectral operators\(S\)-spectrum\(S\)-functional calculusquaternionic operatorsspectral integration

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Quaternionic operator theory (47S05)

Related Items (12)

Characterization of the condition S-spectrum of a compact operator in a right quaternionic Hilbert space ⋮ The fine structure of the spectral theory on the \(S\)-spectrum in dimension five ⋮ Quaternionic triangular linear operators ⋮ An Introduction to Fractional Powers of Quaternionic Operators and New Fractional Diffusion Processes ⋮ An application of the \(S\)-functional calculus to fractional diffusion processes ⋮ An introduction to hyperholomorphic spectral theories and fractional powers of vector operators ⋮ Fractional powers of vector operators with first order boundary conditions ⋮ The spectral theorem for normal operators on a Clifford module ⋮ A new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equations ⋮ Pseudo \(S\)-spectra of special operators in quaternionic Hilbert spaces ⋮ Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators ⋮ Quaternionic exponentially dichotomous operators through \(S\)-spectral splitting and applications to Cauchy problem

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