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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.064
Abstract: Abstract We show the existence of a doubly power-bounded T on L p , 1 p ∞ , p ≠ 2 , such that T is spectral of scalar type (hence polynomially bounded), T is…
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Keywords:
bounded operators;
power bounded;
doubly power;
operator ... See more keywords
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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.05.033
Abstract: Let $H$ be a separable Hilbert space with a fixed orthonormal basis. Let $\mathbb B^{(k)}(H)$ denote the set of operators, whose matrices have no more than $k$ non-zero entries in each line and in each…
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Keywords:
matrix finite;
algebra matrix;
bounded operators;
finite bounded ... See more keywords
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Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.01.009
Abstract: Abstract In the context of Hilbert space operators, there is a strong relationship between convex and expansive operators and 2-isometries. In this paper, we investigate the bounded linear operators T on a Hilbert space H…
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Keywords:
bounded operators;
power bounded;
expansive liftings;
convex expansive ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030096
Abstract: The existence and uniqueness of a local solution is proved for the incomplete Cauchy type problem to multi-term quasilinear fractional differential equations in Banach spaces with Riemann–Liouville derivatives and bounded operators at them. Nonlinearity in…
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Keywords:
bounded operators;
liouville derivatives;
derivatives bounded;
riemann liouville ... See more keywords