“…The theory has been developed by several authors, and among the advances obtained thus far we mention: Pietsch-type domination/factorization theorems ( [11], Geiss [26], Pérez-García [38]), different types of absolutely summing multilinear mappings and polynomials (Achour and Mezrag [1], Carando and Dimant [15], Ç aliskan and Pellegrino [14], Dimant [23], Pellegrino and Souza [36], Pérez-García [38]), Grothendieck-type theorems (Bombal et al [4], Pérez-García and Villanueva [41]), coincidence/inclusion/composition theorems (Alencar and Matos [2], Botelho et al [8], Pérez-García [39,37], Popa [44]), connections with the geometry of Banach spaces ( [5], Floret and Matos [25], Meléndez and Tonge [33], [35], Pérez-García [40]), interplay with other multi-ideals and polynomial ideals (Botelho et al [7], [12], Cilia and Gutiérrez [17], Jarchow et al [27], Matos [29]), estimates for absolutely summing norms (Aron et al [3], [13], Choi et al [16], Defant and Sevilla-Peris [21], Zalduendo [45]), extensions of the theory to more general nonlinear mappings (Junek, Matos and Pellegrino [28], Matos [30,31], Matos and Pellegrino [32]). …”