TY  - JOUR
T1  - Necessary Condition for Vector-Valued Model Spaces to be Invariant Under Conjugation
AU  - Khan, Rewayat
AU  - Khan, Jamroz
PY  - 2019
DA  - May
JF  - Journal of New Theory
JO  - JNT
PB  - Naim ÇAĞMAN
WT  - DergiPark
SN  - 2149-1402
SP  - 1
EP  - 4
IS  - 28
LA  - en
AB  - The $S^{*}$-invariant subspaces of the Hardy-Hilbert space $H^{2}(E)$ (where $E$ is finite dimensional Hilbert space of dimension greater than 1) on the unit disc is well known. In this study, we examine that, if $\Omega$ is a conjugation on $E$, and $\Theta$ an inner function, then there exist model spaces which are not invariant for the conjugation $C_{\Omega}:L^{2}(E)\longrightarrow L^{2}(E)$. Under what necessary condition the model spaces is mapped onto itself is under consideration.
KW  - Inner function
KW  - model spaces
KW  - conjugation
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UR  - https://dergipark.org.tr/en/pub/jnt/issue//561330
L1  - https://dergipark.org.tr/en/download/article-file/709233
ER  -