an:06693292
Zbl 1373.47058
Botelho, Geraldo; Campos, Jamilson R.; Santos, Joedson
Operator ideals related to absolutely summing and Cohen strongly summing operators
EN
Pac. J. Math. 287, No. 1, 1-17 (2017).
00363974
2017
j
47L20 46B45 47B10
Banach sequence spaces; operator ideals; summing operators
Summary: We study the ideals of linear operators between Banach spaces determined by the transformation of vector-valued sequences involving the new sequence space introduced by \textit{A. K. Karn} and \textit{D. P. Sinha} [Glasg. Math. J. 56, No.~2, 427--437 (2014; Zbl 1301.46004)] and the classical spaces of absolutely, weakly and Cohen strongly summable sequences. As applications, we prove a new factorization theorem for absolutely summing operators and a contribution to the existence of infinite-dimensional spaces formed by nonabsolutely summing operators is given.
Zbl 1301.46004