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Let S be a nonempty set and F a. field. Let C(S, F) denote the set of all functions /
Chapter 1, Problem 14(choose chapter or problem)
QUESTION:
Let S be a nonempty set and F a. field. Let C(S, F) denote the set of all functions / T(S, F) such that f(s) 0 for all but a finite number of elements of S. Prove that C(S, F) is a subspace of ^(S, F
Questions & Answers
QUESTION:
Let S be a nonempty set and F a. field. Let C(S, F) denote the set of all functions / T(S, F) such that f(s) 0 for all but a finite number of elements of S. Prove that C(S, F) is a subspace of ^(S, F
ANSWER:Step 1 of 2
Let be a vector space and is a subset of . is a subspace of
(a)
(b) for
(c) for and
-
- Let and
is a subspace of .