REFLEXIVITY OF THE TRANSLATION-DILATION ALGEBRAS ON L2(ℝ)

DOI10.1142/S0129167X03002125zbMath1058.47059arXivmath/0401187MaRDI QIDQ4460669

Rupert H. Levene, Stephen C. Power

Publication date: 29 March 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401187

zbMATH Keywords

reflexivityLie semigrouptranslation algebrahyperbolic algebra

Mathematics Subject Classification ID

Algebras of operators on Banach spaces and other topological linear spaces (47L10) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Related Items (4)

The norm closed triple semigroup algebra ⋮ The operator algebra generated by the translation, dilation and multiplication semigroups ⋮ The parabolic algebra on \(L^{p}\) spaces ⋮ Operator algebras from the discrete Heisenberg semigroup

Cites Work

• Some counterexamples in nonselfadjoint algebras
• The slice map problem and approximation properties
• Operator algebras and invariant subspaces
• Reflexivity properties of \(T \bigoplus O\)
• Compact operators, invariant subspaces, and spectral synthesis
• The Fourier binest algebra
• Completely contractive representations for some doubly generated antisymmetric operator algebras

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