Wandering vectors for irrational rotation unitary systems

DOI10.1090/S0002-9947-98-02065-0zbMath0888.46045MaRDI QIDQ4382927

De Guang Han

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebracyclic vectorwandering vectorcomplete wandering subspacesirrational rotation unitary systemswandering vector multipliers

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of operator theory in numerical analysis (47N40)

Related Items (12)

Wandering operators for unitary systems of Hilbert spaces ⋮ Approximations for Gabor and wavelet frames ⋮ On some operators and dilations of frame generator and dual pair of frame generators of two structured unitary systems ⋮ Gabor single-frame and multi-frame multipliers in any given dimension ⋮ Similarity and parameterizations of dilations of pairs of dual group frames in Hilbert spaces ⋮ Functional Gabor frame multipliers ⋮ Wandering vector multipliers for unitary groups ⋮ Spaces of Bessel generators and characterizations of Bessel generator multipliers for unitary systems ⋮ Canonical dual \(K\)-Bessel sequences and dual \(K\)-Bessel generators for unitary systems of Hilbert spaces ⋮ The \(K\)-dual Bessel generators for unitary groups of Hilbert spaces ⋮ Operator parameterizations of frame generators and generalized dual pair of frame generators of unitary systems ⋮ Dilations of fusion frame generators for Gabor type unitary systems

Cites Work

• C*-algebras associated with irrational rotations
• Perturbations of the rotation \(C^*\)-algebras and of the Heisenberg commutation relation
• Wandering vectors for unitary systems and orthogonal wavelets
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