A Hilbert algebra of Hilbert-Schmidt quadratic operators

DOI10.1017/S0004972700017913zbMath0678.46045MaRDI QIDQ3834542

J C Amson, N. Gopal Reddy

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hilbert-Schmidt classideal of nuclear (trace class) quadratic operatorslinear \(H^*\)-algebrarepresentation as a block-diagonal matrix of Hilbert-Schmidt class

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hilbert algebras (46K15) Nonlinear operators and their properties (47H99)

Related Items (3)

Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces ⋮ A spectral theorem for bilinear compact operators in Hilbert spaces ⋮ Schmidt representation of bilinear operators on Hilbert spaces

Cites Work

• Unnamed Item
• Multilinear Algebra
• Representations of Multilinear and Polynomial Operators on Vector Spaces
• Multimatrix Polyalgebra Representations of the Polar Composition of Polynomial Operators
• Structure Theorems for a Special Class of Banach Algebras

This page was built for publication: A Hilbert algebra of Hilbert-Schmidt quadratic operators