Abstract
To develop Schur analysis in the slice hyperholomophic setting, a number of facts and results from quaternionic functional analysis for which no references were available are needed. These are developed in the present chapter, largely taken from [35]. Most of the results can be proved with the same arguments as in the classical case, since they do not rely on specific properties of complex numbers that do not hold for quaternions. In some cases we repeat here the arguments to show that indeed they carry out.
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© 2016 Springer International Publishing Switzerland
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Alpay, D., Colombo, F., Sabadini, I. (2016). Quaternionic Functional Analysis. In: Slice Hyperholomorphic Schur Analysis. Operator Theory: Advances and Applications, vol 256. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42514-6_5
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DOI: https://doi.org/10.1007/978-3-319-42514-6_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-42513-9
Online ISBN: 978-3-319-42514-6
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