2017/03/10 by Juan I. Giribet, J. I. Giribet, A. Maestripieri +5
Earth and Planetary Sciences · Mathematics · #42C15 #46C20 #47B50 #Computer science #Dual pair #Duality (order theory) #FOS: Mathematics #Fourier analysis #Fourier transform #Functional Analysis (math.FA) #Functional analysis #Hilbert space #Linear subspace #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Orthonormal basis #Parseval's theorem #Physics #Pure mathematics #Quantum mechanics #Seismic Imaging and Inversion Techniques #Space (punctuation) #Topological tensor product #math.FA #msc:42C15 #msc:46C20 #msc:47B50
paper · pdf · doi:10.48550/arxiv.1703.03660
arxiv created 2017/03/10 · openalex publication_date 2017/03/10 · arxiv updated 2017/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A J-frame for a Krein space H is in particular a frame for H (in the Hilbert space sense). But it is also compatible with the indefinite inner-product of H, meaning that it determines a pair of maximal uniformly definite subspaces, an analogue to the maximal dual pair associated to an orthonormal basis in a Krein space. This work is devoted to study duality for J-frames in Krein spaces. Also, tight and Parseval J-frames are defined and characterized.