caa a22 4500 465820166 CHVBK 20180323112133.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01765320 doi (NATIONALLICENCE)springer-10.1007/BF01765320 Khalil Roshdi Department of Mathematics, Kuwait University, P.O. Box 5969, Kuwait aut A class of extreme contractions in L ( l p ) [Elektronische Daten] [Roshdi Khalil] Summary: In this note we prove that: if T is a contraction in L(lp) that maps elements of disjoint support to elements of disjoint support, then T is an extreme point of the unit ball of L(lp), 1<p < ∞, p ≠ 2, if and only if T is of the form $$T = \sum\limits_{i = 1}^\infty {\delta _i \otimes y_i } $$ , where either (yi) form a p-orthonormal sequence or the nonzero elements of (yi) form a p-orthonormal sequence for which $$\mathop \cup \limits_i $$ supp (yi)=N. Fondazione Annali di Matematica Pura ed Applicata, 1990 Annali di Matematica Pura ed Applicata Springer-Verlag 157/1(1990-12-01), 245-249 0373-3114 157:1<245 1990 157 10231 https://doi.org/10.1007/BF01765320 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01765320 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Khalil Roshdi Department of Mathematics, Kuwait University, P.O. Box 5969, Kuwait aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata Springer-Verlag 157/1(1990-12-01), 245-249 0373-3114 157:1<245 1990 157 10231 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer