ABSTRACT
SX(0, 1) = {x ∈ X : ‖x‖ = 1} by SX . If X is clear from this context, then we write B and S instead of BX and SX , respectively.
Let us introduce some notations of classical Banach spaces.
• For each 1 ≤ p <∞, `p denotes the space that consists of all p-summable sequences x = (x1, x2, . . . ) of real numbers furnished with the standard norm
‖x‖ = ( ∞∑ i=1
|xi|p ) 1 p
.
