6. Determine whether the following are subspaces of C[-1, 1]. (a) The set of functions f in C[-1, 1] such that f(-1) = f
Posted: Mon Jul 11, 2022 12:06 pm
6. Determine whether the following are subspaces of C[-1, 1]. (a) The set of functions f in C[-1, 1] such that f(-1) = f(1) (b) The set of odd functions in C[-1, 1] (c) The set of continuous nondecreasing functions on [-1, 1] (d) The set of functions f in C[-1, 1] such that f(-1) = 0 and f(1) = 0 (e) The set of functions f in C[-1, 1] such that f(-1) = 0 or f(1) = 0