English

Slant H-Toeplitz Operators on the Hardy space

Functional Analysis 2018-01-15 v1

Abstract

The notion of slant H-Toeplitz operator VϕV_\phi on the Hardy space H2H^2 is introduced and its characterizations are obtained. We have shown that an operator on the space H2H^2 is slant H-Toeplitz if and only if its matrix is a slant H-Toeplitz matrix. In addition the conditions under which slant Toeplitz and slant Hankel operators become slant H-Toeplitz operators are also obtained.

Keywords

Cite

@article{arxiv.1801.04209,
  title  = {Slant H-Toeplitz Operators on the Hardy space},
  author = {Anuradha Gupta and Shivam Kumar Singh},
  journal= {arXiv preprint arXiv:1801.04209},
  year   = {2018}
}
R2 v1 2026-06-22T23:43:47.622Z