Note on the first order orthogonal projections
A. Olejniczak (1987)
Applicationes Mathematicae
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A. Olejniczak (1987)
Applicationes Mathematicae
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Henry Taber (1893/94)
Bulletin of the New York Mathematical Society
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Lieu, Dennis K. (1999)
Journal for Geometry and Graphics
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Radosław Kala (2008)
Discussiones Mathematicae Probability and Statistics
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It is shown that commutativity of two oblique projectors is equivalent with their product idempotency if both projectors are not necessarily Hermitian but orthogonal with respect to the same inner product.
Hubert Klaja (2016)
Studia Mathematica
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We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.
A. K. Katsaras, Javier Martínez-Maurica (1990)
Collectanea Mathematica
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The Kolmogorov n-diameter of a bounded set B in a non-archimedean normed space, as defined by the first author in a previous paper, is studied in terms of the norms of orthogonal subsets of B with n + 1 points.
Garg, K. M., Naimpally, S. A.
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Jan Hamhalter (1990)
Commentationes Mathematicae Universitatis Carolinae
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Karol Baron (2017)
Annales Mathematicae Silesianae
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Let E be a separable real inner product space of dimension at least 2 and V be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping E into V and having big graphs is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology.