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4 papers · 2 filters
Operator Theory and Complex Geometry
Ronald G. Douglas
One approach to multivariate operator theory involves concepts and techniques from algebraic and complex geometry and is formulated in terms of Hilbert modules. In these notes we p…
Three-way tiling sets in two dimensions
David Larson, Peter Massopust, Gestur Olafsson
In this article we show that there exist measurable sets W in the plane with finite measure that tile the plane in a measurable way under the action of a expansive matrix A, an aff…
Operator valued frames
Victor Kaftal, David Larson, Shuang Zhang
We develop a natural generalization of vector-valued frame theory, we term operator-valued frame theory, using operator-algebraic methods. This extends work of the second author an…
A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases
W. B. Johnson, Bentuo Zheng
We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separabl…