Results 71 to 80 of about 97,059 (278)

Contractions without non-trivial invariant subspaces satisfying a positivity condition

Journal of Inequalities and Applications, 2016
An operator A ∈ B ( H ) $A\in B(\mathcal{H})$ , the algebra of bounded linear transformations on a complex infinite dimensional Hilbert space H $\mathcal{H}$ , belongs to class A ( n ) $\mathcal{A}(n)$ (resp., A ( ∗ − n ) $\mathcal{A}(*-n)$ ) if | A | 2 ≤
Bhaggy Duggal, In Ho Jeon, In Hyoun Kim
doaj   +1 more source

Analytically invariant and bi-invariant subspaces [PDF]

Transactions of the American Mathematical Society, 1972
The purpose of this paper is to call attention to some interesting weakly closed algebras related to a bounded linear operator T T acting on a Banach space X \mathfrak {X} and their associated lattices of invariant subspaces, namely, the algebras generated by the polynomials and by the rational functions ...
Herrero, Domingo Antonio, Salinas, Norberto   +1 more
openaire   +2 more sources

Machine Learning‐Enhanced Random Matrix Theory Design for Human Immunodeficiency Virus Vaccine Development

Advanced Intelligent Discovery, EarlyView.
This study integrates random matrix theory (RMT) and principal component analysis (PCA) to improve the identification of correlated regions in HIV protein sequences for vaccine design. PCA validation enhances the reliability of RMT‐derived correlations, particularly in small‐sample, high‐dimensional datasets, enabling more accurate detection of ...
Mariyam Siddiqah, Muhammad Zulqarnain Zeb, Muhammad Husnain Zeb, Babar Shabbir   +3 more
wiley   +1 more source

A note on invariant subspaces and the solution of some classical functional equations [PDF]

, 2013
We study the continuous solutions of several classical functional equations by using the properties of the spaces of continuous functions which are invariant under some elementary linear trans-formations.
Abu-Helaiel, Kh. F., Almira, J. M.
core  

Taguchi–Bayesian Sampling: A Roadmap for Polymer Database Construction Toward Small Representative Machine Learning

Advanced Intelligent Discovery, EarlyView.
This article establishes a Taguchi–Bayesian sampling strategy to reconstruct polymer processing–property landscape at minimal sampling cost, generically building the roadmap for materials database construction from sampling their vast design space. This sampling strategy is featured by an alternating lesson between uniformity and representativeness ...
Han Liu, Liantang Li
wiley   +1 more source

On Some Sampling-Related Frames in U-Invariant Spaces

Abstract and Applied Analysis, 2013
This paper is concerned with the characterization as frames of some sequences in U-invariant spaces of a separable Hilbert space ℋ where U denotes an unitary operator defined on ℋ; besides, the dual frames having the same form are also found.
H. R. Fernández-Morales, A. G. García, M. A. Hernández-Medina, M. J. Muñoz-Bouzo   +3 more
doaj   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Инвариантные подпространства в функциональных пространствах медленного роста на световом конусе в R^3 [PDF]

Проблемы анализа, 2011
В функциональных топологических векторных пространствах медленного роста на световом конусе X в R 3 получено полное описание строения всех замкнутых линейных подпространств, инвариантных относительно естественного квазирегулярного представления группы R ⊗
Платонов С. С.
doaj  

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Why Physics Still Matters: Improving Machine Learning Prediction of Material Properties With Phonon‐Informed Datasets

Advanced Intelligent Discovery, EarlyView.
Phonons‐informed machine‐learning predictive models are propitious for reproducing thermal effects in computational materials science studies. Machine learning (ML) methods have become powerful tools for predicting material properties with near first‐principles accuracy and vastly reduced computational cost.
Pol Benítez, Cibrán López, Edgardo Saucedo, Teruyasu Mizoguchi, Claudio Cazorla   +4 more
wiley   +1 more source