On frames for Kreĭn spaces

DOI10.1016/j.jmaa.2012.03.040zbMath1253.46033arXiv1112.1632OpenAlexW1988458280MaRDI QIDQ432349

Juan Ignacio Giribet, Pedro G. Massey, Alejandra L. Maestripieri, Francisco Martínez Pería

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1112.1632

zbMATH Keywords

frames\(J\)-frame\(J\)-orthonormal basesKreĭn spacesuniformly \(J\)-definite subspaces

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Spectrum of J-frame operators, \(K\)-frames for Krein spaces, Spectral enclosures for some unbounded \(n\times n\) operator matrices, Atomic systems in Krein spaces, \(J\)-fusion frame operator for Krein spaces, The minimal and maximal symmetries for \(J\)-contractive projections, On a class of non-Hermitian matrices with positive definite Schur complements, On \(J\)-frames related to maximal definite subspaces, Some Results of Frames in Krein Spaces, Spectral enclosures for a class of block operator matrices, Continuous frames in Krein spaces, Frames in Krein spaces arising from a non-regular \(W\)-metric

Cites Work

• Grassmannian frames with applications to coding and communication
• Optimal frames for erasures.
• The art of frame theory
• Signed frames and Hadamard products of Gram matrices
• Frames, graphs and erasures
• On operators of transition in Krein spaces
• Frames, bases and group representations
• Sampling-50 years after Shannon
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item