Was heißt »etabliert« auf Englisch?

Das Adjektiv etabliert lässt sich wie folgt von Deutsch auf Englisch übersetzen:

Deutsch/Englische Beispielübersetzungen

Tom ist ein etablierter Schriftsteller.: Tom is an established writer.
Dieser Brauch hat sich bei den Japanern fest etabliert.: This custom has become firmly established among the Japanese.
Er etablierte sich schnell zu einem der meistgelesenen Autoren des Landes.: He quickly established himself as one of the most widely read authors in the country.
Es gibt einen philosophischen und einen religiösen Buddhismus, und in beiden haben sich mehrere Richtungen etabliert.: There is a philosophical branch of Buddhism, and a religious one, and in each of them several tendencies have developed.

He established the school.
The hoteliers established a regional information centre for tourists.
Shivaji established the Maratha Kingdom, which later morphed into the Maratha Empire.
The Administration has already established the toughest fuel economy standards for passenger vehicles in U.S. history. These standards require an average performance equivalent of 54.5 miles per gallon by 2025.
Everyone is expected to abide by the company's established rules.
What I mean is that there are limits that need to be established and respected.
A free port was established.
He established the company.
The Federal Republic of Germany was established in 1949.
Mr. Smith established this school forty years ago.
The town was established in the 18th century.
Kublai Khan established the Yuan Dynasty in 1271.
Father established his business 40 years ago.
They have established a new government.
They have run this small hotel since it was established.
They established settlements in Africa.
He was established as Foreign Minister.
Diplomatic relations have not yet been established between Japan and North Korea.
This company was established in 1930.
The English established colonies in America in 1609.