Quantity of operators with Bhatia-Å emrl property

We study the Bhatia-Å emrl property which is related to Birkhoff-James orthogonality on operator spaces. Recently, many authors obtained some conditions for operators to have Bhatia-Å emrl property. Using them, we explore the denseness of operators with Bhatia-Å emrl property or without Bhatia-Å emrl property on some classes of Banach spaces.