Invariant subspaces for tridiagonal operators
Copyright policy )Invariant subspaces for tridiagonal operators
In this paper, the author obtains a non-trivial invariant closed subspace for a ``tridiagonal operator'' on a Banach space of complex sequences indexed by the natural numbers \(\mathbb{N}\) with the canonical basis \((\delta_{n})_{n \geq 1}\). It extends a result of \textit{A. Atzmon} who proved in [J. Funct. Anal. 178, 372--380 (2000; Zbl 0978.47022)] that every bishift on a sequence space has a nontrivial invariant subspace.
Mathematics(all), Invariant subspaces of linear operators, Jacobi (tridiagonal) operators (matrices) and generalizations, Invariant subspaces, moment pairs, [MATH] Mathematics [math], Tridiagonal operators, Bishift, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), tridiagonal operators, Moment pairs, bishift, invariant subspaces, Linear operator methods in interpolation, moment and extension problems
Mathematics(all), Invariant subspaces of linear operators, Jacobi (tridiagonal) operators (matrices) and generalizations, Invariant subspaces, moment pairs, [MATH] Mathematics [math], Tridiagonal operators, Bishift, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), tridiagonal operators, Moment pairs, bishift, invariant subspaces, Linear operator methods in interpolation, moment and extension problems
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