ORTHOGONALITY AND PARALLELISM OF OPERATORS ON VARIOUS BANACH SPACES

CRISTIAN CONDE; ALI ZAMANI ; TAMARA BOTTAZZI; MOHAMMAD SAL MOSLEHIAN; PAWEL WOJCIK ; CRISTIAN CONDE; MOHAMMAD SAL MOSLEHIAN; ALI ZAMANI ; TAMARA BOTTAZZI; PAWEL WOJCIK

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY

CAMBRIDGE UNIV PRESS

Lugar: Cambridge; Año: 2019 vol. 106 p. 160 - 183

1446-7887

We present some properties of orthogonality and relate them with support disjoint and norm inequalitiesin p-Schatten ideals. In addition, we investigate the problem of characterization of norm-parallelism forbounded linear operators. We consider the characterization of the norm-parallelism problem in p-Schattenideals and locally uniformly convex spaces. Later on, we study the case when an operator is normparallelto the identity operator. Finally, we give some equivalence assertions about the norm-parallelismof compact operators. Some applications and generalizations are discussed for certain operators.