Results 11 to 20 of about 582,641 (301)

Polycyclic codes as invariant subspaces

Finite Fields Their Appl., 2020
Polycyclic codes are a powerful generalization of cyclic and constacyclic codes. Their algebraic structure is studied here by the theory of invariant subspaces from linear algebra.
Minjia Shi, Xiaoxiao Li, Z. Sepasdar, P. Solé   +3 more
semanticscholar   +1 more source

Uniformly invariant normed spaces

Bibechana, 2013
In this work, we introduce the concepts of compactly invariant and uniformly invariant. Also we define sometimes C-invariant closed subspaces and then prove every m-dimensional normed space with m > 1 has a nontrivial sometimes C-invariant closed ...
AM Forouzanfar, S Khorshidvandpour, Z Bahmani   +2 more
doaj   +3 more sources

Generalized powers and measures [PDF]

Opuscula Mathematica, 2021
Using the winding of measures on torus in "rational directions" special classes of unitary operators and pairs of isometries are defined. This provides nontrivial examples of generalized powers.
Zbigniew Burdak, Marek Kosiek, Patryk Pagacz, Krzysztof Rudol, Marek Słociński   +4 more
doaj   +1 more source

The transfer ideal under the action of orthogonal group in modular case

Open Mathematics, 2022
In this paper, we study the structures of the invariant subspaces under the action of orthogonal group O2ν(Fq,S){O}_{2\nu }\left({F}_{q},S). In particular, we give a detailed description of 2-codimensional invariant subspaces.
Lingli Zeng
doaj   +1 more source

Invariant neural subspaces maintained by feedback modulation

eLife, 2022
Sensory systems reliably process incoming stimuli in spite of changes in context. Most recent models accredit this context invariance to an extraction of increasingly complex sensory features in hierarchical feedforward networks.
Laura B Naumann, Joram Keijser, Henning Sprekeler   +2 more
doaj   +1 more source

Applications of the invariant subspace method on searching explicit solutions to certain special-type non-linear evolution equations

Frontiers in Physics, 2023
We extend the invariant subspace method (ISM) to a class of Hamilton–Jacobi equations (HJEs) and a family of third-order time-fractional dispersive PDEs with the Caputo fractional derivative in this letter.
Gaizhu Qu, Mengmeng Wang, Shoufeng Shen
doaj   +1 more source

Isometries of ∗ -Invariant Subspaces [PDF]

Transactions of the American Mathematical Society, 1974
We consider families of increasing ∗
openaire   +2 more sources

Approximation by group invariant subspaces [PDF]

, 2019
In this article we study the structure of $\Gamma$-invariant spaces of $L^2(\bf R)$. Here $\bf R$ is a second countable LCA group. The invariance is with respect to the action of $\Gamma$, a non commutative group in the form of a semidirect product of a ...
D. Barbieri, C. Cabrelli, E. Hern'andez, U. Molter   +3 more
semanticscholar   +1 more source

Characterization of invariant subspaces in the polydisc [PDF]

Journal of operator theory, 2017
We give a complete characterization of invariant subspaces for (Mz1,…,Mzn) on the Hardy space H2(Dn) over the unit polydisc Dn in Cn, n>1. In particular, this yields a complete set of unitary invariants for invariant subspaces for (Mz1,…,Mzn) on H2(Dn ...
Amit Maji, A. Mundayadan, J. Sarkar, R. SankarT.   +3 more
semanticscholar   +1 more source

INVARIANT SUBSPACES IN THE BIDISC AND WANDERING SUBSPACES [PDF]

Journal of the Australian Mathematical Society, 2008
Abstract Let M be a forward-shift-invariant subspace and N a backward-shift-invariant subspace in the Hardy space H2 on the bidisc. We assume that $H^2=N \oplus M$ . Using the wandering subspace of M and N, we study the relations between M and N. Moreover we study M and N using several natural operators defined by shift operators on H2.
openaire   +3 more sources