Results 21 to 30 of about 386 (37)
Hypercyclic Toeplitz operators
, 2016 We study hypercyclicity of the Toeplitz operators in the Hardy space $H^2(\mathbb{D})$ with symbols of the form $p(\bar{z}) +\phi(z)$, where $p$ is a polynomial and $\phi \in H^\infty(\mathbb{D})$.
Baranov, Anton, Lishanskii, Andrei
core +1 more source
Weighted Sequence Spaces and Cyclicity
Journal of Mathematical Extension, 2006 In this paper we investigate the cyclicity of the multiplication operator Mz acting on the weighted Hardy spaces of formal Laurent series. AMS Subject Classification: Primary 47B37; Secondary 47A16.
J. Doroodgar, B. Yousefi
doaj
Free dense subgroups of holomorphic automorphisms [PDF]
, 2013 We show the existence of free dense subgroups, generated by 2 elements, in the holomorphic shear and overshear group of complex-Euklidean space and extend this result to the group of holomorphic automorphisms of Stein manifolds with Density Property ...
Erlend, Fornæss Wold, Rafael B. Andrist
core
Frequently hypercyclic operators with irregularly visiting orbits
, 2018 We prove that a bounded operator $T$ on a separable Banach space $X$ satisfying a strong form of the Frequent Hypercyclicity Criterion (which implies in particular that the operator is universal in the sense of Glasner and Weiss) admits frequently ...
Grivaux, Sophie
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Universality on higher order Hardy spaces [PDF]
, 2005 We prove a Seidel-Walsh-type theorem about universality of a sequence of derivation-composition operators generated by automorphisms of the unit disk in the setting of the higher order Hardy spaces.
Bernal González, Luis +2 more
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Furstenberg theorem for frequently hypercyclic operators
, 2014 In this paper, we show that if the direct sum $T\oplus T$ of frequently hypercyclic operators is frequently hypercyclic, then every higher direct sum $T\oplus\cdots\oplus T$ is also frequently hypercyclic.Comment: 5pages ...
Kim, Eunsang, Park, Tae Ryong
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Common hypercyclic functions for multiples of convolution and non-convolution operators [PDF]
, 2009 We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds
Bernal González, Luis
core
Dense holomorphic curves in spaces of holomorphic maps and applications to universal maps
, 2017 We study when there exists a dense holomorphic curve in a space of holomorphic maps from a Stein space. We first show that for any bounded convex domain $\Omega\Subset\mathbb{C}^n$ and any connected complex manifold $Y$, the space $\mathcal{O}(\Omega,Y)$
Kusakabe, Yuta
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Orbits of linear operators and Banach space geometry
, 2012 Let $T$ be a bounded linear operator on a (real or complex) Banach space $X$. If $(a_n)$ is a sequence of non-negative numbers tending to 0. Then, the set of $x \in X$ such that $\|T^nx\| \geqslant a_n \|T^n\|$ for infinitely many $n$'s has a complement ...
Augé, Jean-Matthieu
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Frequently hypercyclic abstract higher-order differential equations [PDF]
, 2018 In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces.
Chaouchi, Belkacem, Kostic, Marko
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