Satyabrata Majee

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20222026

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math.FA2022

On decomposition for pairs of twisted contractions

Satyabrata Majee, Amit Maji

This paper presents Wold-type decomposition for various pairs of twisted contractions on Hilbert spaces. As a consequence, we obtain Wold-type decomposition for pairs of doubly twi…

math.FA2022

Numerical radius and Berezin number inequality

Satyabrata Majee, Amit Maji, Atanu Manna

We study various inequalities for numerical radius and Berezin number of a bounded linear operator on a Hilbert space. It is proved that the numerical radius of a pure two-isometry…

math.FA2022

Wold-type decomposition for $U_{n}$ -twisted contractions

Satyabrata Majee, Amit Maji

Let $n > 1$ , and ${U_{ij}}$ for $1 \leq i < j \leq n$ be $(2 n)$ commuting unitaries on a Hilbert space $H$ such that $U_{j i} := U_{ij}^{*}$ . An $n$ -tuple of contracti…

On decomposition for pairs of twisted contractions

Numerical radius and Berezin number inequality

Wold-type decomposition for Un​-twisted contractions

Wold-type decomposition for $U_{n}$ -twisted contractions