open vs establish

open is a noun but establish is not a noun.

Word	Noun	Adjective	Verb	Adverb
open	Yes	Yes	Yes	No
establish	No	No	Yes	No

As verbs, establish is a hyponym of open; that is, establish is a word with a more specific, narrower meaning than open:

open: start to operate or function or cause to start operating or functioning
establish: set up or found

Other hyponyms of open include found, launch, set up.

open (noun)	establish (noun)
information that has become public
a tournament in which both professionals and amateurs may play
a clear or unobstructed space or expanse of land or water
where the air is unconfined

open (adjective)	establish (adjective)
ready or willing to receive favorably
affording unobstructed entrance and exit; not shut or closed
affording free passage or access
(set theory) of an interval that contains neither of its endpoints
open and observable; not secret or hidden
used of mouth or eyes
ready for business
not having been filled
(of textures) full of small openings or gaps
openly straightforward and direct without reserve or secretiveness
not requiring union membership
open to or in view of all
possibly accepting or permitting
without undue constriction as from e.g. tenseness or inhibition
having no protecting cover or enclosure
affording free passage or view
with no protection or shield
accessible to all
not sealed or having been unsealed
not brought to a conclusion; subject to further thought
not defended or capable of being defended

open (verb)	establish (verb)
make available	establish the validity of something, as by an example, explanation or experiment
become available	institute, enact, or establish
make the opening move	use as a basis for; found on
cause to open or to become open	place
become open	set up or lay the groundwork for
spread out or open from a closed or folded state	bring about
display the contents of a file or start an application as on a computer	build or establish something abstract
afford access to	set up or found
start to operate or function or cause to start operating or functioning
begin or set in action, of meetings, speeches, recitals, etc.
have an opening or passage or outlet