Bounded elements of C\(^\ast\)-inductive locally convex spaces

DOI10.1007/S10231-014-0466-7zbMath1357.47089arXiv1307.6988OpenAlexW1970541541MaRDI QIDQ268192

Camillo Trapani, Salvatore Di Bella, Giorgia Bellomonte

Publication date: 14 April 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6988

zbMATH Keywords

\(C^*\)-inductive locally convex spacebounded elementinductive limit of C\(^\ast\)-algebraspartial \(*\)-algebra

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Related Items (3)

Singular perturbations and operators in rigged Hilbert spaces ⋮ Representable and continuous functionals on Banach quasi \(*\)-algebras ⋮ Topological aspects of quasi \(^\ast\)-algebras with sufficiently many \(^\ast\)-representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rigged Hilbert spaces and contractive families of Hilbert spaces
• Locally convex quasi \(^*\)-algebras with sufficiently many \(^*\)-representations
• Operators in rigged Hilbert spaces: some spectral properties
• Spectral properties of partial \(^*\)-algebras
• Partial inner product spaces. Theory and applications
• The completion of the maximal \(Op^ *\)-algebra on a Frechet domain
• A strict Positivstellensatz for the Weyl algebra
• Partial multiplication of operators in rigged Hilbert spaces
• Unbounded operator algebras and representation theory.
• Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review
• Quasi^*-algebras and generalized inductive limits of C^*-algebras
• Fully representable and^*-semisimple topological partial^*-algebras
• An extreme example concerning factorization products on the Schwartz space
• Bounded elements in certain topological partial^*-algebras
• ^*-Representations, seminorms and structure properties of normed quasi^*-algebras
• Bounded elements and spectrum in Banach quasi^*-algebras
• A Spectral Theory for Locally Convex Algebras

This page was built for publication: Bounded elements of C\(^\ast\)-inductive locally convex spaces