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math.FA2024
Theory of sectorial operators and its application in Fractional calculus
Maksim V. Kukushkin
In this monograph, we formulated the sufficient conditions of the Abel-Lidskii basis property for a sectorial operator. Having studied such an operator class, we strengthened the c…
math.FA2023
Schatten index of the operator via the real component of its inverse
Maksim V. Kukushkin
In this paper we study spectral properties of non-selfadjoint operators with the discrete spectrum. The main challenge is to represent a complete description of belonging to the Sc…