Zobrazeno 1 - 10
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pro vyhledávání: '"Kubrusly, Carlos"'
Autor:
Kubrusly, Carlos S.
This is an exposition on supercyclicity and weak supercyclicity, especially designed to advance further developments in weakly supercyclicity, which is a recent research field showing significant momentum during the past two decades. For operators on
Externí odkaz:
http://arxiv.org/abs/2405.02752
This paper is concerned with the convergence of power sequences and stability of Hilbert space operators, where "convergence" and "stability" refer to weak, strong and norm topologies. It is proved that an operator has a convergent power sequence if
Externí odkaz:
http://arxiv.org/abs/2404.08473
Autor:
Kubrusly, Carlos S.
Publikováno v:
New York Journal of Mathematics, 28 (2022) 1656-1666
Consider the space $B[X\otimes_\alpha Y]$ of operators on the tensors product ${X\otimes_\alpha Y}$ of normed spaces $X$ and $Y$ equipped with a uniform crossnorm ${\|\cdot\|_\alpha}$$.$ Take the induced uniform norm on $B[X\otimes_\alpha Y]$ and con
Externí odkaz:
http://arxiv.org/abs/2212.10780
Publikováno v:
Linear Algebra and its Applications, 671 (2023), 38-58
We focus on two problems relating to the question of when the product of two posinormal operators is posinormal, giving (1) necessary conditions and sufficient conditions for posinormal operators to have closed range, and (2) sufficient conditions fo
Externí odkaz:
http://arxiv.org/abs/2212.02012
Autor:
Kubrusly, Carlos S.
Publikováno v:
Concr. Oper. 9 (2022), no.1, 53-69
This paper explores the long journey from projective tensor products of a pair of Banach spaces, passing through the definition of nuclear operators still on the realm of projective tensor products, to the of notion of trace-class operators on a Hilb
Externí odkaz:
http://arxiv.org/abs/2204.06954
Publikováno v:
In Linear Algebra and Its Applications 15 August 2023 671:38-58
Autor:
Kubrusly, Carlos S., Levan, Nhan
Publikováno v:
Bulletin of the Korean Mathematical Society, Vol. 56, no. 3, pp.585-596, May 2019
It is shown that a pair of Hilbert space operators V and W such that V*W=I (called a biisometric pair) shares some common properties with unilateral shifts when orthonormal basis are replaced with biorthogonal sequences, and it is also shown how such
Externí odkaz:
http://arxiv.org/abs/1906.10271
Autor:
Kubrusly Carlos S.
Publikováno v:
Concrete Operators, Vol 9, Iss 1, Pp 53-69 (2022)
This paper explores the long journey from projective tensor products of a pair of Banach spaces, passing through the definition of nuclear operators still on the realm of projective tensor products, to the of notion of trace-class operators on a Hilb
Externí odkaz:
https://doaj.org/article/5e7b1b545b2c4e6e9e67cbbd5e2f8282