Norm attaining multilinear forms on the spaces $c_0$ or $l_1$

Authors : Sung Guen KİM

Pages : 1-6

Doi:10.33205/cma.981877

View : 14 | Download : 9

Publication Date : 2022-03-14

Article Type : Research Paper

Abstract :T ∈ L insert ignore into journalissuearticles values( n E ); T∈Linsert ignore into journalissuearticles values(nE); is called a norming attaining if there are x 1 , … , x n ∈ E x1,…,xn∈E such that ∥ x 1 ∥ = ⋯ = ∥ x n ∥ = 1 ‖x1‖=⋯=‖xn‖=1 and  |T insert ignore into journalissuearticles values( x 1 , … , x n ); | = ∥ T ∥ , |Tinsert ignore into journalissuearticles values(x1,…,xn);|=‖T‖, where L insert ignore into journalissuearticles values( n E ); Linsert ignore into journalissuearticles values(nE); denotes the space of all continuous n n -linear forms on E . E.  We investigate norm attaining multilinear forms on c 0 c0 or l 1 . l1.
Keywords : norming attaining multilinear forms, norming points, norming sets