Anurag Kumar Patel

collaborators

4 papers

math.FA2024

A Characterization of Zero Divisors and Topological Divisors of Zero in $C [a, b]$ and $ℓ^{\infty}$

Harish Chandra, Anurag Kumar Patel

We give a characterization of zero divisors of the ring $C [a, b] .$ Using the Weierstrass approximation theorem, we completely characterize topological divisors of zero of the Banach…

math.FA2024

A class of weighted composition operators whose Range and Null spaces are complemented

Anurag Kumar Patel

In this paper, we prove that the null space of a weighted composition operator on $ℓ_{p} (1 \leq p < \infty)$ is a complemented subspace. We also give a necessary and sufficient…

math.FA2024

A class of Zero Divisors and Topological Divisors of Zero in some Banach algebras

Anurag Kumar Patel, Harish Chandra

In this paper, we establish necessary and sufficient conditions that must be met for weighted composition operators to act as zero divisors in $B (ℓ^{p}) .$ We also give a…

math.FA2024

Zero divisors and topological divisors of zero in certain Banach algebras

Anurag Kumar Patel, Harish Chandra

In this paper we prove that an element $f \in A (D)$ is a topological divisor of zero(TDZ) if and only if there exists $z_{0} \in T$ such that $f (z_{0}) = 0.$ W…

A Characterization of Zero Divisors and Topological Divisors of Zero in C[a,b] and ℓ∞

A class of weighted composition operators whose Range and Null spaces are complemented

A class of Zero Divisors and Topological Divisors of Zero in some Banach algebras

Zero divisors and topological divisors of zero in certain Banach algebras

A Characterization of Zero Divisors and Topological Divisors of Zero in $C [a, b]$ and $ℓ^{\infty}$