A Birkhoff-James cosine function for normed linear spaces

A Birkhoff-James cosine function for normed linear spaces

The cosine function is a classical tool for measuring angles in inner product spaces, and it has various extensions to normed linear spaces. In this paper, we investigate a cosine function for the convex angle formed by two nonzero elements of a complex normed linear space, in connection with recent...

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Veröffentlicht in:Aequationes mathematicae 2021, Vol.95 (5), p.889-914
Hauptverfasser: Panagakou, Vasiliki, Psarrakos, Panayiotis, Yannakakis, Nikos
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Combinatorics
Mathematics
Mathematics and Statistics
Orthogonality
Trigonometric functions
Vector spaces
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Zusammenfassung:The cosine function is a classical tool for measuring angles in inner product spaces, and it has various extensions to normed linear spaces. In this paper, we investigate a cosine function for the convex angle formed by two nonzero elements of a complex normed linear space, in connection with recent results on the Birkhoff-James approximate orthogonality sets.
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-021-00791-0