A Note on Frames in Quaternionic Hilbert Spaces

Author(s):

Sumit Sharma , Raksha Sharma *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we define a modified version of frame in quaternionic Hilbert spaces (QHS) and give a necessary condition for a  block Bessel sequence in terms of a bounded right linear operator. Also, a necessary and sufficient condition for a sequence to be a block Bessel sequence is given. Further, a method to construct a desired block frame using a given block frame is discussed. Finally, a characterization of block frame in terms of a right linear operator is given.
Keywords:

Frames , Block Frames , Quaterninic Hilbert Space

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:22 Issue: 1, Winter 2025
Pages:
125 to 136
https://magiran.com/p2805535