Riesz-like bases in rigged Hilbert spaces

DOI10.4171/ZAA/1564zbMath1351.42036arXiv1511.05466MaRDI QIDQ330245

Camillo Trapani, Giorgia Bellomonte

Publication date: 25 October 2016

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05466

zbMATH Keywords

Riesz basisrigged Hilbert spaces

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (16)

Bessel Sequences, Riesz-Like Bases and Operators in Triplets of Hilbert Spaces ⋮ Reproducing pairs of measurable functions ⋮ Convolution, Fourier analysis, and distributions generated by Riesz bases ⋮ Frames and weak frames for unbounded operators ⋮ Groups, Jacobi functions, and rigged Hilbert spaces ⋮ Order structures of \((\mathcal{D,E})\)-quasi-bases and constructing operators for generalized Riesz systems ⋮ Gibbs states, algebraic dynamics and generalized Riesz systems ⋮ Hamiltonians defined by biorthogonal sets ⋮ Ordered structures of constructing operators for generalized Riesz systems ⋮ Non-self-adjoint Hamiltonians defined by sesquilinear forms and their physical applications ⋮ Biorthogonal vectors, sesquilinear forms, and some physical operators ⋮ Riesz-Fischer maps, semi-frames and frames in rigged Hilbert spaces ⋮ Distribution frames and bases ⋮ Operators on partial inner product spaces: towards a spectral analysis ⋮ Towards generalized Riesz systems theory ⋮ PIP-space valued reproducing pairs of measurable functions

This page was built for publication: Riesz-like bases in rigged Hilbert spaces