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Hereditarily strictly cyclic operator algebras

Subhash Chander Arora; Pawan Bala — 1991

Czechoslovak Mathematical Journal

Operators on Lorentz sequence spaces

Subhash Chander Arora; Gopal Datt; Satish Verma — 2009

Mathematica Bohemica

Description of multiplication operators generated by a sequence and composition operators induced by a partition on Lorentz sequence spaces $l (p, q)$ , $1 < p \leq \infty$ , $1 \leq q \leq \infty$ is presented.

Slant Hankel operators

Subhash Chander Arora; Ruchika Batra; M. P. Singh — 2006

Archivum Mathematicum

In this paper the notion of slant Hankel operator $K_{ϕ}$ , with symbol $ϕ$ in $L^{\infty}$ , on the space $L^{2} (𝕋)$ , $𝕋$ being the unit circle, is introduced. The matrix of the slant Hankel operator with respect to the usual basis ${z^{i} : i \in ℤ}$ of the space $L^{2}$ is given by $〈 α_{i j} 〉 = 〈 a_{- 2 i - j} 〉$ , where $\sum_{i = - \infty}^{\infty} a_{i} z^{i}$ is the Fourier expansion of $ϕ$ . Some algebraic properties such as the norm, compactness of the operator $K_{ϕ}$ are discussed. Along with the algebraic properties some spectral properties of such operators are discussed. Precisely, it is proved that for an invertible...

Essentially slant Toeplitz operators.

Arora, Subhash Chander; Bhola, Jyoti — 2009

Banach Journal of Mathematical Analysis [electronic only]

Properties of the slant weighted Toeplitz operator.

Arora, Subhash Chander; Kathuria, Ritu — 2011

Annals of Functional Analysis (AFA) [electronic only]

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