Approximate Birkhoff–James orthogonality and smoothness in the space of bounded linear operators
Monatshefte fur Mathematik
We study approximate Birkhoff–James orthogonality of bounded linear operators defined between normed linear spaces X and Y. As an application of the results obtained, we characterize smoothness of a bounded linear operator T under the condition that K(X, Y) , the space of compact linear operators is an M-ideal in L(X, Y) , the space of bounded linear operators.
Mal, Arpita; Paul, Kallol; Rao, T. S.S.R.K.; and Sain, Debmalya, "Approximate Birkhoff–James orthogonality and smoothness in the space of bounded linear operators" (2019). Journal Articles. 649.
Open Access, Green