Constrained approximation and invariant subspaces

DOI10.1016/S0022-247X(03)00099-4zbMath1022.41015OpenAlexW2067047581WikidataQ56319378 ScholiaQ56319378MaRDI QIDQ1874446

Isabelle Chalendar, Jonathan R. Partington

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00099-4

zbMATH Keywords

invariant subspaceconstrained approximation

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Invariant subspaces of linear operators (47A15) Approximation with constraints (41A29)

Related Items (13)

Convergence properties of minimal vectors for normal operators and weighted shifts ⋮ Solutions to inverse moment estimation problems in dimension 2, using best constrained approximation ⋮ Relation between Hardy components for locally supported vector fields on the sphere ⋮ On the Recovery of Core and Crustal Components of Geomagnetic Potential Fields ⋮ An operator theoretical approach of some inverse problems ⋮ Best approximation in Hardy spaces and by polynomials, with norm constraints ⋮ Hyperinvariant subspaces for operators having a compact part ⋮ Magnetic moment estimation and bounded extremal problems ⋮ On Some Extremal Problems for Analytic Functions with Constraints on Real or Imaginary Parts ⋮ Bounded extremal and Cauchy-Laplace problems on the sphere and shell ⋮ Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains ⋮ Constrained extremal problems in $H^2$ and Carleman's formulae ⋮ Analytic approximation with real constraints, with applications to inverse diffusion problems

Cites Work

• Invariant subspaces for the family of operators which commute with a completely continuous operator
• Constrained approximation and interpolation in Hilbert function spaces
• Hardy approximation to \(L^p\) functions on subsets of the circle with \(1\leq p<\infty\)
• Vectors of minimal norm
• Extremal vectors and invariant subspaces
• Approximation in reflexive Banach spaces and applications to the invariant subspace problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Constrained approximation and invariant subspaces