caa a22 4500 467931488 CHVBK 20180406152944.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s00020-005-1374-4 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1374-4 Sub- n -normal Operators [Elektronische Daten] [Il Jung, Eungil Ko, Carl Pearcy] Abstract.: In this paper we introduce the class of sub-n-normal operators. By definition, such an operator is the restriction to an invariant subspace of an n-normal operator, and thus the sub-n-normal operators form a larger class than the subnormal operators. We obtain some modest structure theorems and contrast sub-n-normal operators with sub-Jordan operators. Finally we show that a sub-n-normal operator with rich spectrum has a nontrivial invariant subspace. Birkhäuser Verlag, Basel, 2006 Sub- n -normal operator nationallicence subnormal operator nationallicence sub-Jordan operator nationallicence Jung Il Department of Mathematics, College of Natural Science, Kyungpook National University, 702-701, Daegu, Korea aut Ko Eungil Department of Mathematics, Ewha Women's University, 120-750, Seoul, Korea aut Pearcy Carl Department of Mathematics, Texas A&M University, 77843, College Station, TX, U.S.A aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 55/1(2006-05-01), 83-91 0378-620X 55:1<83 2006 55 20 https://doi.org/10.1007/s00020-005-1374-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1374-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jung Il Department of Mathematics, College of Natural Science, Kyungpook National University, 702-701, Daegu, Korea aut NATIONALLICENCE 700 1- Ko Eungil Department of Mathematics, Ewha Women's University, 120-750, Seoul, Korea aut NATIONALLICENCE 700 1- Pearcy Carl Department of Mathematics, Texas A&M University, 77843, College Station, TX, U.S.A aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 55/1(2006-05-01), 83-91 0378-620X 55:1<83 2006 55 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer