Results 1 to 10 of about 90 (62)
Hypercyclic operators are subspace hypercyclic [PDF]
Journal of Mathematical Analysis and Applications, 2016 In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed subspace such that is dense in. We use this result to answer a question posed in Madore and Martínez-Avendaño (2011) [9].
Nareen Bamerni, Vladimir Kadets
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On the existence of subspace-hypercyclic operators and a new criteria for subspace-hypercyclicity
Advances in Operator Theory, 2020 The notion of subspace-hypercyclicity was introduced by \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} in [J. Math. Anal. Appl. 373, No. 2, 502--511 (2011; Zbl 1210.47023)]. A~bounded linear operator \( T \) on a Banach space \(X\) is called subspace-hypercyclic for a nonzero subspace \(M\) of \(X\), or simply, \(M\)-hypercyclic, if there ...
Andre Quintal Augusto
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Subspace hypercyclicity for Toeplitz operators
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruben A Martinez-Avendaño
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Subspace-hypercyclicity of conditional weighted translations on locally compact groups
Positivity, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Reza Azimi
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Some questions about subspace-hypercyclic operators [PDF]
Journal of Mathematical Extension, 2013 A bounded linear operator T on a Banach space X is called subspace-hypercyclic for a subspace M if Orb. (T, x) ∩ M is dense in M for a vector x∈ M. We show examples that answer some questions posed by H. Rezaei (2013) [7].
A. Peris +9 more
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SUFFICIENT CONDITIONS FOR SUBSPACE-HYPERCYCLICITY [PDF]
International Journal of Pure and Applied Mathematics, 2015 M. Moosapoor
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About Subspace-Frequently Hypercyclic Operators [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-
Mansooreh Moosapoor, Mohammad Shahriari
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Journal of Mathematical Analysis and Applications, 2010 A bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if there exists a vector whose orbit under T intersects the subspace in a relatively dense set.
Madore, Blair F. +1 more
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M-hypercyclicity of C 0-semigroup and Svep of its generator
Concrete Operators, 2021 Let 𝒯 = (Tt)t≥0 be a C0-semigroup on a separable infinite dimensional Banach space X, with generator A. In this paper, we study the relationship between the single valued extension property of generator A, and the M-hypercyclicity of the C0-semigroup ...
Toukmati A.
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On the direct sum of two bounded linear operators and subspace-hypercyclicity
General Letters in Mathematics, 2020 In this paper, we show that if the direct sum of two operators is subspace-hypercyclic (satisfies subspace hypercyclic criterion), then both operators are subspace-hypercyclic (satisfy subspace hypercyclic criterion). Moreover, if an operator $T$ satisfies subspace-hypercyclic criterion, then so $T\oplus T$ does.
Adem Kılıc¸man, Nareen Bamerni
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