Abstract
The behavior of the domain, the range, the kernel and the multi-valued part of a rational function in a linear relation is analyzed, respectively. We give some basic properties of such linear relations, and we prove that the rational form of the spectral mapping theorem holds in terms of ascent, essential ascent, descent and essential descent.
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Communicated by Fuad Kittaneh.
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Chafai, E. On a Rational Function in a Linear Relation. Bull. Malays. Math. Sci. Soc. 42, 2963–2984 (2019). https://doi.org/10.1007/s40840-018-0643-8
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DOI: https://doi.org/10.1007/s40840-018-0643-8