Admittedly

наречие общеизвестно, по общему признанию; правда, надо сказать Например: Admittedly, I spent most of my time in the French Quarter. — Правда, я проводил большую часть своего времени во Французском квартале.

Большой англо-русский словарь

Admittedly

adverb 1. as has been or must be admitted Example: an admittedly inadequate treatment 2. it must be admitted Example: admittedly, we took a chance

Merriam-Webster's Collegiate Dictionary