Displaying similar documents to “On The Continuous Dependence Of Solutions To Orthogonal Additivity Problem On Given Functions”

On commutativity of projectors

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.

On Erb's uncertainty principle

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.

Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.

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.

On Orthogonally Additive Functions With Big Graphs

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.