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Hereditarily strictly cyclic operator algebras

Subhash Chander Arora; Pawan Bala — 1991

Czechoslovak Mathematical Journal

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...

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.

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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