The general theory of greedy approximation with respect to arbitrary dictionaries is well developed in the case of real Banach spaces. Recently, some of results proved for the Weak Chebyshev Greedy Algorithm (WCGA) in the case of real Banach spaces were extended to the case of complex Banach spaces. In this paper we extend some of known in the real case results for other than WCGA greedy algorithms to the case of complex Banach spaces.

翻译：关于任意字典下贪婪逼近的一般理论在实Banach空间情形已得到充分发展。最近，弱切比雪夫贪婪算法（WCGA）在实Banach空间中的部分结果被推广至复Banach空间情形。本文将实Banach空间中除WCGA外其他贪婪算法的若干已知结果推广至复Banach空间情形。