Abstract
In the paper, we introduce and analyze the notion of $\lambda$-slant Hankel operator and $(\lambda,\mu)$-slant Hankel operator on the Lebesgue space $L^2(\mathbb{T})$. Certain basic properties of these operators, connection between them and their co-relations with certain existing operators are also discussed.
Key words: Slant Hankel operator, Lebesgue space, Calkin algebra, Essentially Hankel
operator, $\lambda$-slant Hankel operator.
Full Text
Article Information
| Title | On Generalized Slant Hankel Operators in the Calkin Algebra |
| Source | Methods Funct. Anal. Topology, Vol. 32 (2026), no. 2, 152-165 |
| DOI | 10.31392/MFAT-npu26_2.2026.05 |
| Milestones | Received 14/12/2024; Revised 05/04/2026 |
| Copyright | The Author(s) 2026 (CC BY-SA) |
Authors Information
Shesh Kumar Pandey
A. N. D. Kisan P. G. College, Babhnan, Uttar Pradesh, India (affiliated to Dr. Ram Manohar Lohia Avadh University, Ayodhya, Uttar Pradesh, India)
Anand Prakash Mishra
A. N. D. Kisan P. G. College, Babhnan, Uttar Pradesh, India (affiliated to Dr. Ram Manohar Lohia Avadh University, Ayodhya, Uttar Pradesh, India)
Citation Example
Shesh Kumar Pandey and Anand Prakash Mishra, On Generalized Slant Hankel Operators in the Calkin Algebra, Methods Funct. Anal. Topology 32
(2026), no. 2, 152-165.
BibTex
@article {MFAT2280,
AUTHOR = {Shesh Kumar Pandey and Anand Prakash Mishra},
TITLE = {On Generalized Slant Hankel Operators in the Calkin Algebra},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {32},
YEAR = {2026},
NUMBER = {2},
PAGES = {152-165},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_2.2026.05},
URL = {https://mfat.imath.kiev.ua/article/?id=2280},
}
