Invariant weakly positive semidefinite kernels with values in topologically ordered $*$-spaces

DOI10.4064/sm8807-1-2018OpenAlexW2963825538MaRDI QIDQ5226529

Serdar Ay, Aurelian Gheondea

Publication date: 31 July 2019

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04740

zbMATH Keywords

reproducing kernellinearisationinvariant kernelVE-spaceadmissible spaceVH-spaceHermitian kernel$\ast$-representation$\ast$-semigrouptopologically ordered $\ast$-spaceweakly positive semidefinite kernel

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (2)

Corrigendum to: ``Representations of \(*\)-semigroups associated to invariant kernels with values adjointable operators ⋮ Automatic boundedness of adjointable operators on barreled VH-spaces

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