A new method for approximation of closed convex subsets of B(H)

DOI10.2298/FIL1719005IzbMath1502.47011WikidataQ130015447 ScholiaQ130015447MaRDI QIDQ5022794

Mahdi Iranmanesh, Fatemeh Soleimany

Publication date: 19 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

numerical rangebest approximation\(C^\ast\)-algebrabest coapproximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Numerical range, numerical radius (47A12) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Leibniz seminorms and best approximation from \(C^*\)-subalgebras
• Best coapproximation in normed linear spaces
• Some results concerning proximinality and co-proximinality
• Growth conitions and the numerical range in a Banach algebra
• On the Distance to Finite-Dimensional Subspaces in Operator Algebras
• Best Approximation from the Intersection of a Closed Convex Set and a Polyhedron in Hilbert Space, Weak Slater Conditions, and the Strong Conical Hull Intersection Property
• Cebysev Sets in Hilbert Space
• Finite Operators
• Approximation by compact operators and the space \(H^\infty +C\)
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