Topological aspects of quasi \(^\ast\)-algebras with sufficiently many \(^\ast\)-representations

DOI10.1007/s43037-023-00309-7zbMath1530.46040arXiv2304.05725OpenAlexW4387449091MaRDI QIDQ6084030

Camillo Trapani, Giorgia Bellomonte

Publication date: 31 October 2023

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

Full work available at URL: https://arxiv.org/abs/2304.05725

zbMATH Keywords

$^*$-representationinvariant positive sesquilinear formlocally convex quasi $^*$-algebra

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Algebras of unbounded operators; partial algebras of operators (47L60) Partial algebras (08A55) General theory of topological algebras with involution (46K05) Forms (bilinear, sesquilinear, multilinear) (47A07)

Cites Work

• Bounded elements of C\(^\ast\)-inductive locally convex spaces
• Locally convex quasi \(^*\)-algebras with sufficiently many \(^*\)-representations
• Unbounded operator algebras and representation theory.
• Locally convex quasi \(^\ast\)-algebras and their representations
• Erratumąddendum to the paper: ``Quasi^*-algebras and generalized inductive limits of C^*-algebras (Studia Math. 202 (2011), 165–190)
• Fully representable and^*-semisimple topological partial^*-algebras
• C*-seminorms
• Bounded elements in certain topological partial^*-algebras
• Bounded elements and spectrum in Banach quasi^*-algebras

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