A class of weighted composition operators whose Range and Null spaces are complemented

التفاصيل البيبلوغرافية
العنوان: A class of weighted composition operators whose Range and Null spaces are complemented
المؤلفون: Patel, Anurag Kumar
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Functional Analysis, 46B25, 54B15, 47B33, 47A53
الوصف: In this paper, we prove that the null space of a weighted composition operator on $\ell_p~ (1 \leq p < \infty)$ is a complemented subspace. We also give a necessary and sufficient condition for a weighted composition operator on $\ell_p$ whose range space is of finite co-dimension. Thereafter, we characterize a class of weighted composition operators whose range space is a complemented subspace. Lastly, we characterize weighted composition operators on $\ell_p$ which are Fredholm operators.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.08972
رقم الأكسشن: edsarx.2402.08972
قاعدة البيانات: arXiv