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math.FA2023★ 1 cited
A numerical range approach to Birkhoff-James orthogonality with applications
Miguel Martin, Javier Meri, Alicia Quero +2
The main aim of this paper is to provide characterizations of Birkhoff-James orthogonality (BJ-orthogonality in short) in a number of families of Banach spaces in terms of the elem…
math.FA2023
Auerbach bases of real spaces
Arun Maiti, Debmalya Sain
We study Auerbach bases of the space , and in particular, prove that has only finitely many Auerbach bases for and . An explicit one-paramet…