Reproducing pairs of measurable functions and partial inner product spaces

DOI10.22034/aot.1611-1053zbMath1368.42029arXiv1610.03420OpenAlexW2531719616MaRDI QIDQ525315

Camillo Trapani, Jean-Pierre Antoine

Publication date: 3 May 2017

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03420

zbMATH Keywords

partial inner product spacescontinuous frameslattices of Banach spacesreproducing pairsupper and lower semi-frames

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) General harmonic expansions, frames (42C15)

Related Items

A Swanson-like Hamiltonian and the inverted harmonic oscillator ⋮ Reproducing pairs of measurable functions ⋮ Frames and weak frames for unbounded operators ⋮ Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces ⋮ Lower semi-frames, frames, and metric operators ⋮ Riesz-Fischer maps, semi-frames and frames in rigged Hilbert spaces ⋮ Distribution frames and bases ⋮ Susy for non-Hermitian Hamiltonians, with a view to coherent states ⋮ PIP-space valued reproducing pairs of measurable functions ⋮ Sesquilinear forms associated to sequences on Hilbert spaces ⋮ Weak $A$-frames and weak $A$-semi-frames ⋮ Frames, their relatives and reproducing kernel Hilbert spaces

Cites Work

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