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math.FA2020★ 4 cited
Closed operator functional calculus in Banach modules and applications
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We describe a closed operator functional calculus in Banach modules over the group algebra and illustrate its usefulness with a few applications. In particular, we…
math.FA2018★ 14 cited
Similarity Techniques in the Spectral Analysis of Perturbed Operator Matrices
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We develop the method of similar operators to study the spectral properties of unbounded perturbed linear operators that can be represented by matrices of various kinds. The class…