The Regularity and Uniform Positivity of the Range of Orthogonal Projections
Given two orthogonal projections P , Q ∈ B ( H ) , let T = P Q and R ( T ) ⊥ ∩ N ( T ) = { 0 } , we characterize symmetries J such that ( J T ) ∗ = J T and J T ≥ 0 , where ( J T ) ∗ = J T if and only if P J = J Q . Furthermore, we study the regularity and uniform positivity of R ( P ) and R ( Q ) ....
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| Veröffentlicht in: | Complex analysis and operator theory 2024-11, Vol.18 (8), Article 174 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Given two orthogonal projections
P
,
Q
∈
B
(
H
)
, let
T
=
P
Q
and
R
(
T
)
⊥
∩
N
(
T
)
=
{
0
}
, we characterize symmetries
J
such that
(
J
T
)
∗
=
J
T
and
J
T
≥
0
, where
(
J
T
)
∗
=
J
T
if and only if
P
J
=
J
Q
. Furthermore, we study the regularity and uniform positivity of
R
(
P
)
and
R
(
Q
)
. |
|---|---|
| ISSN: | 1661-8254 1661-8262 |
| DOI: | 10.1007/s11785-024-01621-2 |