Non-commutative Analysis

DOI10.1142/10317zbMath1371.46003OpenAlexW2524762550MaRDI QIDQ2967822

Palle E. T. Jorgensen, Feng Tian

Publication date: 2 March 2017

Full work available at URL: https://doi.org/10.1142/10317

zbMATH Keywords

Brownian motionunitary representationLie groupspectral theoryquantum mechanicsoperator algebraGNS constructioncompletely positive mapreproducing kernel Hilbert spacequantum probabilityKadison-Singer problemselfadjoint extensionextension of operatornoncommutative Radon-Nikodym derivativeStinespring theoremunbounded graph-Laplacian

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (16)

Uniform and \(L^q\)-ensemble reachability of parameter-dependent linear systems ⋮ Reproducing kernels: harmonic analysis and some of their applications ⋮ Early influences, the Fuglede question, spectrum vs tiling, and connection to related work by John von Neumann, Irving Segal, Marshall Stone, and David Shale ⋮ New Hilbert space tools for analysis of graph Laplacians and Markov processes ⋮ Conditional mean embedding and optimal feature selection via positive definite kernels ⋮ Harmonic analysis of network systems via kernels and their boundary realizations ⋮ Stochastics and dynamics of fractals ⋮ A sharp Clifford wavelet Heisenberg-type uncertainty principle ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Reproducing kernels and choices of associated feature spaces, in the form of \(L^2\)-spaces ⋮ Clifford wavelet transform and the uncertainty principle ⋮ Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations ⋮ Reflection positivity, duality, and spectral theory ⋮ A Kaczmarz algorithm for sequences of projections, infinite products, and applications to frames in IFS \(L^2\) spaces ⋮ Realizations and factorizations of positive definite kernels ⋮ Freedman inequality in noncommutative probability spaces

This page was built for publication: Non-commutative Analysis