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:对于任意字典的贪心逼近一般理论,在实Banach空间情形下已得到充分发展。最近,针对实Banach空间情形下弱切比雪夫贪心算法(WCGA)所证明的部分结果已被推广至复Banach空间情形。本文将实Banach空间情形下除WCGA外其他贪心算法的若干已知结果推广至复Banach空间情形。