Results 11 to 20 of about 100 (68)

SUBSPACE-HYPERCYCLIC TUPLES OF OPERATORS [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper we introduce subspace-hypercyclic tuples of operators and construct interesting examples of such operators. We state some sufficient conditions for n-tuples of operators to be subspace-hypercyclic. Surprisingly, we prove that subspace-hypercyclic tuples exist on finite-dimensional spaces.
M. Moosapoor
core   +2 more sources

On subspace-diskcyclicity [PDF]

Arab Journal of Mathematical Sciences, 2017
In this paper, we define and study subspace-diskcyclic operators. We show that subspace-diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and use it to find a subspace-diskcyclic operator that is not subspace ...
Nareen Bamerni, Adem Kılıçman
doaj   +3 more sources

On Some Subspace Codiskcyclic Operators in Banach Spaces

International Journal of Mathematics and Mathematical Sciences
This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators.
Peter Masong Slaa, Santosh Kumar, Marco Mpimbo   +2 more
doaj   +2 more sources

ON POINT SPECTRUM OF SUBSPACE-HYPERCYCLIC OPERATORS

General Letters in Mathematics, 2013
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.
M. Moosapoor
core   +3 more sources

Invertible Subspace-Hypercyclic Operators

Journal of Mathematical Extension, 2015
A bounded linear operator 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 2 M. In this paper we give conditions under which an operator is M-hypercyclic.
S. Talebi, B. Yousefi, M. Asadipour
doaj   +2 more sources

Disjoint subspace-hypercyclic operators on separable Banach spaces

Annals of Functional Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ze-Hua Zhou
exaly   +2 more sources

IRREGULAR VECTORS AND SUBSPACE-HYPERCYCLIC OPERATORS

International Journal of Pure and Apllied Mathematics, 2013
M. Moosapoor
core   +2 more sources

Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk, Zoriana Novosad, Ismat Beg   +2 more
wiley   +1 more source

M-hypercyclicity of C0-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.
doaj   +1 more source

On Subspace-ergodic Operators [PDF]

, 2020
In this paper, we define subspace-ergodic operators and give examples of these operators. We show that by any given separable infinite-dimensional Banach space, subspace-ergodic operators can be constructed.
Moosapoor, Mansooreh
core   +2 more sources