Backward orbits of operators

2019 ◽  
pp. 1
Author(s):  
Vladimir Müller
Keyword(s):  
Orbits Of Operators ◽  
Backward Orbits

scholarly journals Orbits of operators commuting with the Volterra operator

2008 ◽  
Vol 89 (2) ◽  
pp. 145-173 ◽  
Author(s):  
Sergio Bermudo ◽  
Alfonso Montes-Rodríguez ◽  
Stanislav Shkarin
Keyword(s):  
Volterra Operator ◽  
Orbits Of Operators

Backward orbits of transitive maps

2012 ◽  
Vol 18 (7) ◽  
pp. 1193-1203 ◽  
Author(s):  
Peter Maličký
Keyword(s):  
Backward Orbits

scholarly journals Sequences of vectors that are orbits of operators

2006 ◽  
Vol 318 (2) ◽  
pp. 459-466 ◽  
Author(s):  
Ralph deLaubenfels
Keyword(s):  
Orbits Of Operators

scholarly journals Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov

2020 ◽  
Vol 7 (1) ◽  
pp. 133-154
Author(s):  
V. Müller ◽  
Yu. Tomilov
Keyword(s):  
Hilbert Space ◽  
Operator Theory ◽  
Unit Vector ◽  
Linear Operators ◽  
Numerical Radius ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Hilbert Space Operators ◽  
Single Operator ◽  
Orbits Of Operators

AbstractWe present a survey of some recent results concerning joint numerical ranges of n-tuples of Hilbert space operators, accompanied with several new observations and remarks. Thereafter, numerical ranges techniques will be applied to various problems of operator theory. In particular, we discuss problems concerning orbits of operators, diagonals of operators and their tuples, and pinching problems. Lastly, motivated by known results on the numerical radius of a single operator, we examine whether, given bounded linear operators T1, . . ., Tn on a Hilbert space H, there exists a unit vector x ∈ H such that |〈Tjx, x〉| is “large” for all j = 1, . . . , n.

Growth conditions for conjugation orbits of operators on Banach spaces

2015 ◽  
Vol 74 (2) ◽  
pp. 281-306
Author(s):  
Heybetkulu Mustafayev
Keyword(s):  
Banach Spaces ◽  
Growth Conditions ◽  
Orbits Of Operators

ORBITS OF OPERATORS

2004 ◽  
Author(s):  
VLADIMíR MÜLLER
Keyword(s):  
Orbits Of Operators

scholarly journals Backward orbits in the unit ball

2019 ◽  
Vol 147 (9) ◽  
pp. 3947-3954 ◽  
Author(s):  
Leandro Arosio ◽  
Lorenzo Guerini
Keyword(s):  
Unit Ball ◽  
Backward Orbits

scholarly journals How two planets likely acquired their backward orbits

Physics Today ◽  
2021 ◽  
Vol 74 (5) ◽  
pp. 12-14
Author(s):  
Johanna L. Miller
Keyword(s):  
Backward Orbits

scholarly journals Transitions and anti-integrable limits for multi-hole Sturmian systems and Denjoy counterexamples

2019 ◽  
Vol 3 (1) ◽  
Author(s):  
Yi-Chiuan Chen
Keyword(s):  
Finite Number ◽  
Rotation Number ◽  
Singular Limit ◽  
Minimal System ◽  
Minimal Set ◽  
Symbolic Dynamical System ◽  
Sturmian System ◽  
Omega Limit Set ◽  
Transitive Orientation ◽  
Backward Orbits

Abstract For a Denjoy homeomorphism $f$ of the circle $S$, we call a pair of distinct points of the $\omega$-limit set $\omega (\,f)$ whose forward and backward orbits converge together a gap, and call an orbit of gaps a hole. In this paper, we generalize the Sturmian system of Morse and Hedlund and show that the dynamics of any Denjoy minimal set of finite number of holes is conjugate to a generalized Sturmian system. Moreover, for any Denjoy homeomorphism $f$ having a finite number of holes and for any transitive orientation-preserving homeomorphism $f_1$ of the circle with the same rotation number $\rho (\,f_1)$ as $\rho (\,f)$, we construct a family $f_\varepsilon$ of Denjoy homeomorphisms of rotation number $\rho (\,f)$ containing $f$ such that $(\omega (\,f_\varepsilon ), f_\varepsilon )$ is conjugate to $(\omega (\,f), f)$ for $0<\varepsilon <\tilde{\varepsilon }<1$, but the number of holes changes at $\varepsilon =\tilde{\varepsilon }$, that $(\omega (\,f_\varepsilon ), f_\varepsilon )$ is conjugate to $(\omega (\,f_{\tilde{\varepsilon }}), f_{\tilde{\varepsilon }})$ for $\tilde{\varepsilon }\leqslant \varepsilon <1$ but $\lim _{\varepsilon \nearrow 1}f_\varepsilon (t)=f_1(t)$ for any $t\in S$, and that $f_\varepsilon$ has a singular limit when $\varepsilon \searrow 0$. We show this singular limit is an anti-integrable limit (AI-limit) in the sense of Aubry. That is, the Denjoy minimal system reduces to a symbolic dynamical system. The AI-limit can be degenerate or nondegenerate. All transitions can be precisely described in terms of the generalized Sturmian systems.

scholarly journals The Importance of the Strategy in Backward Orbits

2015 ◽  
pp. 171-181
Author(s):  
Carmen Pellicer-Lostao ◽  
Ricardo López-Ruiz
Keyword(s):  
Backward Orbits
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