Köthe-bochner spaces and some geometric properties related to rotundity and smoothness

In 2000,kadets et al. introduced the notions of acs,luacs,and uacs spaces,which form common generalisations of well-known rotundity and smoothness properties of banach spaces. in a recent paper,the author introduced some further related notions and investigated the behaviour of these geometric properties under the formation of absolute sums. the present paper is in a sense a continuation of this work. here we will study the behaviour of the said properties under the formation of köthe-bochner spaces,thereby generalising some results of g. sirotkin on the acs,luacs,and uacs properties of lp-bochner spaces. © 2013 jan-david hardtke.