Operator algebras from the discrete Heisenberg semigroup

DOI10.1017/S0013091510000143zbMath1239.47059arXiv1001.2755OpenAlexW2117968216MaRDI QIDQ3116816

Aristides Katavolos, Ivan G. Todorov, Michalis Anoussis

Publication date: 12 February 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2755

zbMATH Keywords

reflexivitynon-self-adjoint operator algebraslice mapdiscrete Heisenberg semigroup

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Linear spaces and algebras of operators (47L99) Other nonselfadjoint operator algebras (47L75)

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 ⋮ Unnamed Item

Cites Work

• Representations and automorphisms of the irrational rotation algebra
• Operator algebras and invariant subspaces
• The algebraic structure of non-commutative analytic Toeplitz algebras
• Factorization and reflexivity of Fock spaces
• Invariant subspaces and unstarred operator algebras
• The invariant subspace structure of \(L^2(\mathbb T^2)\) for certain von Neumann algebras
• The structure of free smigroup algebras
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
• A General View of Reflexivity
• The Fourier binest algebra
• REFLEXIVITY OF THE TRANSLATION-DILATION ALGEBRAS ON L²(ℝ)
• Translation and dilation invariant subspaces of L2 (R)
• A Double Triangle Operator Algebra From SL₂(ℝ₊)

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