outlook vs belief

outlook and belief both are nouns.

Word	Noun	Adjective	Verb	Adverb
outlook	Yes	No	No	No
belief	Yes	No	No	No

As nouns, belief is a hypernym of outlook; that is, belief is a word with a broader meaning than outlook:

outlook (noun)	belief (noun)
the act of looking out	any cognitive content held as true
belief about (or mental picture of) the future	a vague idea in which some confidence is placed
a habitual or characteristic mental attitude that determines how you will interpret and respond to situations