Results 61 to 70 of about 184 (111)
On the set of supercyclic operators
Bulletin of the London Mathematical SocietyAbstractIn this article, we address a problem posed by Bayart regarding the existence of an infinite‐dimensional closed vector subspace (excluding the null operator) within the set of supercyclic operators on Banach spaces. We fully resolve this problem by establishing the existence of the closed subspace.
Thiago R. Alves, Gustavo C. Souza
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Browder essential approximate point spectra and hypercyclicity for operator matrices
, 2007 When A∈B(H) and B∈B(K) are given, we denote by MC the operator acting on the infinite dimensional separable Hilbert space H⊕K of the form MC=AC0B. In this paper, it is shown that if A is upper semi-Fredholm of finite ascent and infinite codimension, and ...
Cao, Xiaohong
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Dynamics of linear operators on Grassmannians
, 2013 Les travaux présentés dans cette thèse concernent la dynamique d'opérateurs pour des sous-espaces. Nous étudions principalement deux notions de dynamique pour des sous-espaces qui sont la n-supercyclicité et la forte n-supercyclicité.
Ernst, Romuald
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On the orbit of an A-m-isometry
, 2013 An A-m-isometry is a bounded linear operator T on a Hilbert space ℍ satisfying an identity of the form Σk=0m(-1)m-k\binom{m}{k}T*kATk = 0, where A is a positive (semi-definite) operator. In this paper, we show that the results for the supercyclicity
Saddi, Adel, Rabaoui, Rchid
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Role of the spectrum in the cyclic behavior of composition operators
, 2003 A bounded operator T acting on a Hilbert space H is called cyclic if there is a vector x such that the linear span of the orbit {Tnx:n≥0} is dense in H. If the scalar multiples of the orbit are dense, then T is called supercyclic.
Montes Rodríguez, Alfonso +3 more
core
, 2012 In this thesis, we focus on class A operators and complex symmetric operators. First, we show that every class A operator is subscalar of order 12. This consequence gives some partial solutions of the invariant subspace problem for class A operators.
정성은
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SUPERCYCLICITY OF TWO-ISOMETRIES
Honam Mathematical Journal, 2008 M. Faghih Ahmadi, K. Hedayatian
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On Weak Supercyclicity I [PDF]
Proceedings of the Royal Irish Academy, 2018 This paper provides conditions (i) to distinguish weak supercyclicity form supercyclicity for operators acting on normed and Banach spaces, and also (ii) to ensure when weak supercyclicity implies weak stability.
B P Duggal
exaly +8 more sources