On Completion of \textit{C}*-algebra-valued metric spaces

zbMath1501.54017arXiv1901.02394MaRDI QIDQ5041925

Wanchai Tapanyo, Areerat Arunchai, Wachiraphong Ratiphaphongthon

Publication date: 18 October 2022

Full work available at URL: https://arxiv.org/abs/1901.02394

zbMATH Keywords

normed spacecompletioninner product spacecone metric space\(C^*\)-algebra-valued metric space

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Operator spaces and completely bounded maps (46L07) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Cites Work

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• \(C^{\ast}\)-algebra-valued metric spaces and related fixed point theorems
• \(C^{\ast}\)-algebra-valued \(b\)-metric spaces and related fixed point theorems
• Cone metric spaces and fixed point theorems of contractive mappings
• Induced representations of C\(^*\)-algebras
• \(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems
• A tripled fixed point theorem in \(C^\ast \)-algebra-valued metric spaces and application in integral equations
• \(\alpha\)-admissible mapping in \(C^*\)-algebra-valued b-metric spaces and fixed point theorems
• A note on the triangle inequality for the C^✻-valued norm on a Hilbert C^✻-module
• The triangle inequality in C*algebras
• Inner Product Modules Over B ∗ -Algebras
• Modules Over Operator Algebras

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