TY  - JOUR
T1  - Polynomially accretive operators
AU  - Stanković, Hranislav
PY  - 2025
DA  - April
Y2  - 2024
DO  - 10.15672/hujms.1421159
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 516
EP  - 528
VL  - 54
IS  - 2
LA  - en
AB  - In this paper, we introduce a new class of operators on a complex Hilbert space $\mathcal{H}$ which is called polynomially accretive operators, and thereby extending the notion of accretive and $n$-real power positive operators. We give several properties of the newly introduced class, and generalize some results for accretive operators. We also prove that every $2$-normal and $(2k+1)$-real power positive operator, for some $k\in\mathbb{N}$, must be $n$-normal for all $n\geq2$. Finally, we give sufficient conditions for the normality in the preceding implication.
KW  - polynomially accretive operators
KW  - accretive operators
KW  - n–real power positive
operators
KW  - Re–nnd matrices
KW  - polynomially normal operators
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UR  - https://doi.org/10.15672/hujms.1421159
L1  - https://dergipark.org.tr/en/download/article-file/3665760
ER  -