TY - JOUR
AU - Bermúdez, T.
AU - Mendoza, C.D.
AU - Martinón, A.
T1 - Powers of m-isometries
LA - eng
PY - 2012
SP - 249
EP - 255
T2 - Studia Mathematica
SN - 0039-3223
VL - 208
IS - 3
AB - A bounded linear operator T on a Banach space X is called an (m, p)- isometry for a positive integer m and a real number p ≥ 1 if, for any vector x ε X, (equation required) We prove that any power of an (m, p)-isometry is also an (m, p)-isometry. In general the converse is not true. However, we prove that if T r and T r+1 are (m, p)-isometries for a positive integer r, then T is an (m, p)-isometry. More precisely, if T r is an (m, p)- isometry and T s is an (l, p)-isometry, then T t is an (h, p)-isometry, where t = gcd(r, s) and h = min(m, l). © Instytut Matematyczny PAN, 2012.
DO - 10.4064/sm208-3-4
UR - https://portalciencia.ull.es/documentos/5e3c376829995246bbf5e6f1
DP - Dialnet - Portal de la Investigación
ER -