Results 81 to 90 of about 326,660 (252)

Инвариантные подпространства в функциональных пространствах полиномиального роста на R^N [PDF]

open access: yesПроблемы анализа, 1997
Получено описание строения замкнутых линейных подпространств в функциональных топологических векторных пространствах полиномиального роста на евклидовом пространстве R n.
Платонов С. С.
doaj  

An explicit example concernig the invariant subspace problem for Banach spaces

open access: yes, 2010
We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing the ideas of Read we give an explicit example of a continuous linear operator on the Banach space of all absolute summable scalar sequences without ...
Śliwa, Wiesław
core  

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

open access: yesAdvanced 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   +3 more
wiley   +1 more source

Unit Roots and Cointegrating Matrix Estimation using Subspace Methods [PDF]

open access: yes
We propose a new procedure to detect unit roots based on subspace methods. It has three main original features. First, the same method can be applied to single or multiple time series.
José Casals   +2 more
core  

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

open access: yesAdvanced 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

Conditional Lie-Bäcklund Symmetries and Reductions of the Nonlinear Diffusion Equations with Source

open access: yesAbstract and Applied Analysis, 2014
Conditional Lie-Bäcklund symmetry approach is used to study the invariant subspace of the nonlinear diffusion equations with source ut=e−qx(epxP(u)uxm)x+Q(x,u), m≠1.
Junquan Song   +3 more
doaj   +1 more source

The invariant subspace problem [PDF]

open access: yes, 2011
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an operator T on a Banach space X, a closed subspace M of X is said to be a non-trivial invariant subspace for T if T(M) " M and M #= {0},X.

core  

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

open access: yesAdvanced 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   +7 more
wiley   +1 more source

From Berzelius to Hyperspace: Previously Unrecognized Network of Reactivity in Textbook Brominations

open access: yesAngewandte Chemie, EarlyView.
Robotic scans across multidimensional condition spaces of classic bromination reactions uncover regions of previously unrecognized reactivity, yielding new major products and novel substitution patterns. Correlation and anticorrelation analyses of product distributions across these hyperspaces enable reconstruction of the underlying mechanistic ...
Yankai Jia   +9 more
wiley   +2 more sources

Remarks on Invariant Subspace Lattices

open access: yes, 1969
If A is a bounded linear operator on an infinite-dimensional complex Hilbert space H, let lat A denote the collection of all subspaces of H that are invariant under A; i.e., all closed linear subspaces M such that x ∈ M implies (Ax) ∈ M.
Peter Rosenthal
core   +1 more source

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