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Outer preserving linear operators

โœ Scribed by P.C. Gibson; M.P. Lamoureux; G.F. Margrave

Book ID
113710094
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
138 KB
Volume
261
Category
Article
ISSN
0022-1236

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๐Ÿ“œ SIMILAR VOLUMES

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This paper is concerned with integral operators which are defined by means of continuous kernel functions. We give necessary and sufficient conditions imposed on the kernels such that families of continuous functions with various distinctive forms are left invariant under the corresponding operators

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The minimal rank of a square matrix is studied, and the linear operators preserving it are characterized. Some related results are presented and some unsolved problems are discussed.