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Topologically transitive skew-products of operators

Ergodic Theory and Dynamical Systems, 2009
AbstractThe purpose of the present paper is to provide a link between skew-product systems and linear dynamics. In particular, we give a criterion for skew-products of linear operators to be topologically transitive. This is then applied to certain families of linear operators including scalar multiples of the backward shift, backward unilateral ...
Bayart, Frédéric   +2 more
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Transit Operating Subsidies - 1974

1974
Presented at the 15th Transportation Research Forum meeting, Oct.
Gerlach, Ernest R., Gerlach, Ernest R.
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On positive transitive operators

Positivity, 2008
An operator is called transitive if it does not have any nontrivial invariant subspaces. In [J.~Funct.\ Anal.\ 256, No.\,6, 1865--1874 (2009; Zbl 1162.47006)], the author constructed a transitive operator \(T\) (on \(\ell_1\)) which is almost positive, in the sense that all but one entries in the matrix of the operator are non-negative.
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Transition to Operations

2018
One of the last steps in the agile project life cycle that is often overlooked is the proper hand-off from the Scrum team to the teams that will support the project once it’s finished and the Scrum team has disbanded. Without a proper hand-off, the operational teams may not be prepared to take on the new solutions and users could be confused about who ...
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Norm Transitive Semigroups on Operator Algebra

Complex Analysis and Operator Theory, 2012
This paper considers the operator norm transitivity of continuous linear operators on the operator algebra \(B(X)\) for a separable Banach space \(X\). The author proves that the transitivity of a semigroup \(\mathcal{A}\) of continuous linear mappings on \(B(X)\) with the operator norm implies that \(\mathcal{A}\) is hypercyclic for the strong ...
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Transitive Vector Spaces of Bounded Operators

Canadian Mathematical Bulletin, 1984
AbstractThe linear subspace S of B(X, Y), the space of bounded operators from the Banach space X to the Banach space Y, is said to be transitive if Sx is dense in Y for all x ≠ 0. We give a number of conditions, involving operators intertwined by S, which imply that S is not transitive, and conditions which, when X = Y, imply that the commutant of S is
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Transition operator

2023
Chun-Wei Tsai, Ming-Chao Chiang
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Relatively Transitive-operator Algebras.

1972
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/180301/2/7306779 ...
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Operators over relations preserving transitivity

Discrete Mathematics and Applications, 1998
Summary: Let \({\mathcal T}={\mathcal T}(A)\) be the class of all transitive relations on a finite set \(A\). We say that an operator \(r= F(r_1,\dots, r_n)\) on the set of relations preserves transitivity if \[ r_1,\dots, r_n\in{\mathcal T}\Rightarrow r\in{\mathcal T}. \] Let us introduce operators \(\tau^{(u)}_n(r_1,\dots, r_n)\), \(u= 0,1\), \(n\geq
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Infinitesimal operators of transition functions

1965
2.1. Consider an arbitrary state space (E,ℬ). The function P(t, x, Γ) (t≥0, x Є E, ΓЄℬ) is called a transition function if the following conditions are satisfied:
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