Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On Subspace-recurrent Operators
View through CrossRef
In this article, subspace-recurrent operators are presented and it is showed that the set of subspace-transitive operators is a strict subset of the set of subspace-recurrent operators. We demonstrate that despite subspace-transitive operators and subspace-hypercyclic operators, subspace-recurrent operators exist on finite dimensional spaces. We establish that operators that have a dense set of periodic points are subspace-recurrent. Especially, if $T$ is an invertible chaotic or an invertible subspace-chaotic operator, then $T^{n}$, $T^{-n}$ and $\lambda T$ are subspace-recurrent for any positive integer $n$ and any scalar $\lambda$ with absolute value $1$. Also, we state a subspace-recurrence criterion.
Title: On Subspace-recurrent Operators
Description:
In this article, subspace-recurrent operators are presented and it is showed that the set of subspace-transitive operators is a strict subset of the set of subspace-recurrent operators.
We demonstrate that despite subspace-transitive operators and subspace-hypercyclic operators, subspace-recurrent operators exist on finite dimensional spaces.
We establish that operators that have a dense set of periodic points are subspace-recurrent.
Especially, if $T$ is an invertible chaotic or an invertible subspace-chaotic operator, then $T^{n}$, $T^{-n}$ and $\lambda T$ are subspace-recurrent for any positive integer $n$ and any scalar $\lambda$ with absolute value $1$.
Also, we state a subspace-recurrence criterion.
Related Results
Optimization algorithm for omic data subspace clustering
Optimization algorithm for omic data subspace clustering
Subspace clustering identifies multiple feature subspaces embedded in a dataset together with the underlying sample clusters. When applied to omic data, subspace clustering is a ch...
Subspace Complexity Reduction in Direction-of-Arrival Estimation via the RASA Algorithm
Subspace Complexity Reduction in Direction-of-Arrival Estimation via the RASA Algorithm
The complexity and scale of contemporary datasets are increasing, making the need for reliable and effective subspace processing more pressing. In array signal processing, the qual...
Adaptive Subspace Detection of Spread Spectrum Signals With General Antenna Array Configuration
Adaptive Subspace Detection of Spread Spectrum Signals With General Antenna Array Configuration
Assume that a low probability of detection communication (LPD) system has a generally configured antenna array receiver, comprising a primary array with a high-gain beam and a refe...
A subspace based subspace inclusion graph on vector space
A subspace based subspace inclusion graph on vector space
Let $\mathscr{W}$ be a fixed $k$-dimensional subspace of an $n$-dimensi\-onal vector space $\mathscr{V}$ such that $n-k\geq1.$ In this paper, we introduce a graph structure, called...
On Absolute and Quantitative Subspace Theorems
On Absolute and Quantitative Subspace Theorems
Abstract
The Absolute Subspace Theorem, a vast generalization and a quantitative improvement of Schmidt’s Subspace Theorem, was first established by Evertse and Schl...
Multi-view Unsupervised Feature Selection With Joint Multi-subspace Robust Learning
Multi-view Unsupervised Feature Selection With Joint Multi-subspace Robust Learning
Multi-view unsupervised feature selection aims to extract representative and discriminative features from multiple views to improve model performance on complex datasets. However, ...
"Human factor" in emergency situations development at Nuclear Power Plants in the conditions of war
"Human factor" in emergency situations development at Nuclear Power Plants in the conditions of war
Since the beginning of Ukraine's full-scale war with the russian federation, the personnel of two Ukrainian Nuclear Power Plants (NPP) (Chornobyl and Zaporizhzhya) have been held h...
Functional Analysis
Functional Analysis
Abstract
The article contains sections titled:
Banach Space and Operators on Them
Vector and Normed Spaces
...