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A New Resolvent Equation for the S-Functional Calculus [PDF]
, 2015 The S-functional calculus is a functional calculus for (n + 1)-tuples of non necessarily commuting operators that can be considered a higher dimensional version of the classical Riesz-Dunford functional calculus for a single operator.
Alpay, Daniel +3 more
core +1 more source
Recurrence and transience for non-Archimedean and directed graphs
We introduce the notion of recurrence and transience for graphs over non-Archimedean ordered field. To do so we relate these graphs to random walks of directed graphs over the reals.
Keller, Matthias, Muranova, Anna
core
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A functional equation related to inner product spaces in non-Archimedean L-random normed spaces
Journal of Inequalities and Applications, 2012Javad Vahidi +2 more
exaly
Quaternionic Hilbert spaces and a von Neumann inequality
Complex Variables and Elliptic Equations, 2012Daniel Alpay, H Turgay Kaptanoğlu
exaly
Numerical range of quaternionic right linear bounded operators
Linear and Multilinear Algebra, 2022exaly
Fuzzy Hyers-Ulam stability of an additive functional equation
Journal of Inequalities and Applications, 2011Choonkil Park +2 more
exaly
On solutions of matrix equation XF−AX=C and $XF-A\widetilde{X}=C$ over quaternion field
Journal of Applied Mathematics and Computing, 2010Caiqin Song
exaly