pocketbook vs pocket book

pocketbook and pocket book both are nouns.

Word	Noun	Adjective	Verb	Adverb
pocketbook	Yes	No	No	No
pocket book	Yes	No	No	No

As nouns, pocketbook and pocket book are synonyms defined as:

Other synonyms of pocketbook include pocket edition.

pocketbook (noun)	pocket book (noun)
a container used for carrying money and small personal items or accessories (especially by women)	pocket-sized paperback book
pocket-sized paperback book
a pocket-size case for holding papers and paper money
your personal financial means