Orthogonal apartments in Hilbert Grassmannians

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Orthogonal Apartments in Hilbert Grassmannians

Let H be an infinite-dimensional complex Hilbert space and let L(H) be the logic formed by all closed subspaces of H. For every natural k we denote by Gk(H) the Grassmannian consisting of k-dimensional subspaces. An orthogonal apartment of Gk(H) is the set consisting of all k-dimensional subspaces spanned by subsets of a certain orthogonal base of H. Orthogonal apartments can be characterized a...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2016

ISSN: 0024-3795

DOI: 10.1016/j.laa.2016.05.023