Some applications of free Fisher information on frame theory

DOI10.1016/j.jmaa.2005.02.053zbMath1088.46039OpenAlexW2044314303MaRDI QIDQ2569898

Bin Meng, Xiaohong Cao, Maozheng Guo

Publication date: 24 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.02.053

zbMATH Keywords

conditional expectationfree Fisher informationHilbert \(C^*\)-moduleconjugate variablemodular frame

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) (C^*)-modules (46L08) General theory of von Neumann algebras (46L10) General harmonic expansions, frames (42C15)

Related Items (1)

Rank-preserving module maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms
• Applications of free entropy to finite von Neumann algebras. II
• Some minimization problems for the free analogue of the Fisher information
• The analogues of entropy and of Fisher's information measure in free probability theory. VI: Liberation and mutual free information
• The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
• Index for 𝐶*-subalgebras
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
• Frames, bases and group representations
• Free entropy with respect to a completely positive map
• Operator-valued free Fisher information and modular frames
• Inner Product Modules Over B ∗ -Algebras

This page was built for publication: Some applications of free Fisher information on frame theory