Babhrubahan Bose, Saikat Roy, Debmalya Sain
Published 2022-05-23Version 1
We study Birkhoff-James orthogonality and its local symmetry in some sequence spaces namely $\ell_p,$ for $1\leq p\leq\infty$, $p\neq2$, $c$, $c_0$ and $c_{00}$. Using the characterization of the local symmetry of Birkhoff-James orthogonality, we characterize isometries of each of these spaces onto itself and obtain the Banach-Lamperti theorem for onto operators on the sequence spaces.
Orthogonality for biadjoints of operators
Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
Hardy-Littlewood inequalities for norms of positive operators on sequence spaces
![QR code for arXiv:2205.11586 [math.FA]](http://oss.arxitics.com/images/favicon.svg)