Characterizations of the dilation of frame generator dual pairs for group

DOI10.1186/s13660-019-2211-7zbMath1499.42138OpenAlexW2978706613WikidataQ126985075 ScholiaQ126985075MaRDI QIDQ2068033

Liang Li, Peng Tong Li

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2211-7

zbMATH Keywords

group representationsdilationsdual frame generatorsframe generatorsRiesz generators

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

• Unnamed Item
• Wandering operators for unitary systems of Hilbert spaces
• Operator valued frames and structured quantum channels
• Invariances of frame sequences under perturbations
• Similarity and parameterizations of dilations of pairs of dual group frames in Hilbert spaces
• Joint similarities and parameterizations for Naimark complementary frames
• Frames associated with measurable spaces
• Dilation of dual \(g\)-frames to dual \(g\)-Riesz bases
• \(g\)-frames and \(g\)-Riesz bases
• Operator-valued frame generators for group-like unitary systems
• Operator-valued frames
• Perturbation of frames for a subspace of a Hilbert space.

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