TY - JOUR
T1 - The invariant subspace problem for absolutely p-summing operators in Krein spaces
AU - Wanjala, Gerald
PY - 2012
Y1 - 2012
N2 - Let [InlineEquation not available: see fulltext.], and let T be a bounded linear operator defined on a Krein space [InlineEquation not available: see fulltext.]. We prove the existence of a non-positive subspace [InlineEquation not available: see fulltext.] of [InlineEquation not available: see fulltext.] invariant under T with the assumption that T is absolutely p-summing with some further conditions imposed on it. MSC: 47B50, 46C20, 47B10.
AB - Let [InlineEquation not available: see fulltext.], and let T be a bounded linear operator defined on a Krein space [InlineEquation not available: see fulltext.]. We prove the existence of a non-positive subspace [InlineEquation not available: see fulltext.] of [InlineEquation not available: see fulltext.] invariant under T with the assumption that T is absolutely p-summing with some further conditions imposed on it. MSC: 47B50, 46C20, 47B10.
KW - Krein spaces
KW - absolutely p-summing operator
KW - invariant subspace
UR - http://www.scopus.com/inward/record.url?scp=84873337996&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84873337996&partnerID=8YFLogxK
U2 - 10.1186/1029-242X-2012-254
DO - 10.1186/1029-242X-2012-254
M3 - Article
AN - SCOPUS:84873337996
SN - 1025-5834
VL - 2012
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
M1 - 254
ER -