4 papers
math.FA2022
Annihilators in the bidual of generalized group algebra of a discrete group
Lav Kumar Singh
In this short note, the second dual of generalized group algebra equipped with both Arens products is investigated, where is any discrete group an…
math.FA2021
On strong Arens irregularity of projective tensor product of Hilbert-Schmidt space
Ved Prakash Gupta, Lav Kumar Singh
It was shown in [16] that the Banach algebra is not Arens regular, where denotes the Banach algebra of the Hilbert-Schmidt opera…
math.FA2020
On arens regularity of projective tensor product of Schatten p-class operators
Lav Kumar Singh
In this paper we discuss the Arens regularity of projective tensor product of Schatten p-class operators. We use the biregularity condition given by Ülger to prove that $S_p(\mathc…
math.FA2020
Some functorial properties of Schatten classes
Lav Kumar Singh, Arvind Kumar Verma
In this paper, we begin with the study of elements in -algebras which are mapped to Schatten class ideals through faithful left regular representation. We further give some fu…