Slice Functional Calculus in Quaternionic Hilbert Spaces

DOI10.1007/978-3-319-12577-0_53zbMath1348.47012OpenAlexW2146465392MaRDI QIDQ2949305

Valter Moretti, Riccardo Ghiloni, Alessandro Perotti

Publication date: 8 October 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12577-0_53

zbMATH Keywords

functional calculusquaternionic Hilbert spaceslice functionsspectral map theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Functional calculus for linear operators (47A60) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• Unnamed Item
• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• Slice monogenic functions
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• A New Approach to Slice Regularity on Real Algebras
• Normal Operators on Quaternionic Hilbert Spaces

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