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math.FA2023
Dilation and Birkhoff-James orthogonality
Sourav Pal, Saikat Roy
We study the interaction between unitary -dilations of a pair of Hilbert space operators and Birkhoff-James orthogonality. We prove that for two orthogonal operators if $\…
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…