Mathematics – Spectral Theory
Scientific paper
2010-04-09
Mathematics
Spectral Theory
Scientific paper
The spectral properties of two products $AB$ and $BA$ of possibly unbounded operators $A$ and $B$ in a Banach space are considered. The results are applied in the comparison of local spectral properties of the operators $T^{[*]} T$ and $TT^{[*]} $ in a Krein space. It is shown that under the assumption that both operators $T^{[*]} T$ and $T^{[*]} $ have non-empty resolvent sets, the operator $T^{[*]} T$ is locally definitizable if and only if $TT^{[*]} $ is. In this context the critical points of both operators are compared.
Philipp Friedrich
Ran André C. M.
Wojtylak Michał
No associations
LandOfFree
Local Definitizability of $T^{[*]}T$ and $TT^{[*]}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Local Definitizability of $T^{[*]}T$ and $TT^{[*]}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local Definitizability of $T^{[*]}T$ and $TT^{[*]}$ will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-221473