Sesquilinear forms associated to sequences on Hilbert spaces

DOI10.1007/s00605-019-01310-9zbMath1418.42046arXiv1812.03349OpenAlexW4289126597WikidataQ127682720 ScholiaQ127682720MaRDI QIDQ2313391

Rosario Corso

Publication date: 19 July 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03349

zbMATH Keywords

framesrepresentation theoremsBessel sequencessesquilinear formsassociated operatorssemi-frames

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (9)

Localization of the spectra of dual frames multipliers ⋮ On some dual frames multipliers with at most countable spectra ⋮ Frames and weak frames for unbounded operators ⋮ Some perturbation results for quasi-bases and other sequences of vectors ⋮ Generalized frame operator, lower semiframes, and sequences of translates ⋮ Lower semi-frames, frames, and metric operators ⋮ Non-self-adjoint Hamiltonians defined by sesquilinear forms and their physical applications ⋮ Continuous frames for unbounded operators ⋮ Weak $A$-frames and weak $A$-semi-frames

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