Results 21 to 30 of about 589 (114)

Two partial orders on Standard Young Tableaux with applications to invariant subspaces of nilpotent linear operators

, 2023
In the paper we investigate two partial orders on standard Young tableaux and show their applications in the theory of invariant subspaces of nilpotent linear operators.
Kaniecki, Mariusz, Kosakowska, Justyna
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Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras

Linear Algebra and its Applications, 2016
Let \( A\) be a Banach algebra and \(\phi\) be a character on \( A\). The authors consider \(P_1( A, \phi)\), the set of all \(\phi\)-maximal elements of \(A\), and also representations of this semigroup on separated locally convex vector spaces. They study a finite-dimensional property in terms of amenability of the closed linear span of \(P_1( A ...
Nasr-Isfahani, Rasoul, Nemati, Mehdi, Shahmoradi, Somayeh   +2 more
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Finite dimensional invariant subspaces for a semigroup of linear operators

Journal of Mathematical Analysis and Applications, 1983
The left-amenability of a semitopological semigroup S is characterized by the existence of an invariant n-dimensional subspace of certain representations of S. This is a generalizatin of a result of \textit{K. Fan} [Indagationes Math. 27, 447-451 (1965; Zbl 0139.311)].
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Lie-algebras and linear operators with invariant subspaces

, 1993
47pp, AMS ...
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The number of invariant subspaces under a linear operator on finite vector spaces

Advances in Mathematics of Communications, 2011
Let $V$ be an $n$-dimensional vector space over the finite field $\mathbb F$q and $T$ a linear operator on $V$. For each $k\in\{1,\ldots,n\}$ we determine the number of $k$-dimensional $T$-invariant subspaces of $V$. Finally, this method is applied for the enumeration of all monomially nonisometric linear $(n,k)$-codes over $\mathbb F$q.
openaire   +1 more source

Characterization of invariant subspaces for a nilpotent linear operator that admit complementary invariant subspaces

The Electronic Journal of Linear Algebra
The aim of this work is to solve the problem of determining the necessary and sufficient conditions for a vector subspace invariant by a nilpotent endomorphism to admit a complementary invariant subspace for the same linear operator. As applications, we offer results about Jordan bases associated with nilpotent linear maps and reflexive generalized ...
openaire   +3 more sources

Weakly invariant subspaces for multivalued linear operators on Banach spaces

Journal of Nonlinear Sciences and Applications, 2018
Summary: \textit{P. Saveliev} [Proc. Am. Math. Soc. 131, No. 3, 825--834 (2003; Zbl 1050.47009)] generalized Lomonosov's invariant subspace theorem to the case of linear relations. In particular, he proved that, if \(\mathcal{S}\) and \(\mathcal{T}\) are linear relations defined on a Banach space \(X\) and having finite dimensional multivalued parts ...
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On the orbit of invariant subspaces of linear operators in finite-dimensional spaces (new proof of a Halmos's result)

Linear Algebra and its Applications, 2001
The fact that for any linear operator \(A\) on a finite-dimensional complex vector space, the lattice of invariant subspaces of \(A\) coincides with the set of ranges of the operators which commute with \(A\), was pointed out by \textit{P. R. Halmos} [Linear Algebra Appl. 4, 11-15 (1971; Zbl 0264.15001)].
openaire   +1 more source

Generalized invariant subspaces for linear operators [PDF]

Studia Mathematica, 1972
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Characterization of finite dimensional subspaces of complex functions that are invariant under linear differential operators

, 2016
The method to solve inhomogeneous linear differential equations that is usually taught at school relies on the fact that the right hand side function is the product of a polynomial and an exponential and that the linear spaces of those functions are invariant under differential operators (finite or ordinary).
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