Woven frames and modular Riesz bases in Hilbert C*-modules

نویسندگان
Khosravi, Amir ID 1
Farmani, Mohammad Reza ID 2

1 Faculty of Mathematical Sciences and Computer, Kharazmi University, 599 Taleghani Ave., Tehran 15618, Iran,

2 Faculty of Mathematical Sciences and Computer, Kharazmi University, 599 Taleghani Ave., Tehran 15618, Iran

doi
10.22091/maa.2023.9392.1000
چکیده

In this paper, we investigate woven frames, P-woven  and CP-woven frames in Hilbert C*-modules. We also study frames, Riesz bases, and modular Riesz bases in Hilbert C*-modules. We show that modular Riesz bases share some properties with Riesz bases in Hilbert spaces. We generalize some main results in Hilbert spaces to Hilbert C*-modules and we get some results about perturbation and redundancy of woven frames.

کلیدواژه‌ها
frame, woven frame, P-woven frame, Hilbert C*-module