Meaning of “establish” - Learner’s Dictionary

establish

verb uk us /ɪˈstæblɪʃ/
START [ T ]

B2 to start a company or organization that will continue for a long time:

[ often passive ] The brewery was established in 1822.
establish sb/sth as sth

to put someone or something into a successful and lasting position:

[ often reflexive ] He quickly established himself as a talented actor.
establish communication/relations, etc

to start having a relationship or communicating with another company, country, or organization:

The two countries have only recently established diplomatic relations.
DECIDE [ T ]

to decide something:

Our first step must be to establish priorities for the weeks ahead.
DISCOVER [ T ]

to find out information or prove something:

[ + question word ] The police are trying to establish how he died.
established adjective

(Definition of “establish” from the Cambridge Learner’s Dictionary © Cambridge University Press)