The space BL(X, Y) of all bounded linear functions from X to Y is a normed linear

Question:

The space BL(X, Y) of all bounded linear functions from X to Y is a normed linear space, with norm
f|| = sup{ ||f(x)|| || = 1}

It is a Banach space (complete normed linear space) if Y is complete. The following proposition is an important result regarding bounded linear functions.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: