Kousik Dhara

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20202024

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math.FA2022

Pseudo $S$ -spectra of special operators in quaternionic Hilbert spaces

Kousik Dhara, Santhosh Kumar Pamula

For a bounded quaternionic operator $T$ on a right quaternionic Hilbert space $H$ and $ε > 0$ , the pseudo $S$ -spectrum of $T$ is defined as \begin{align*} Λ_{\va…

math.FA2022

Norms of basic operators in vector valued model spaces and de Branges spaces

Kousik Dhara, Harry Dym

Let $Ω_{+}$ be either the open unit disc or the open upper half plane or the open right half plane. In this paper, we compute the norm of the basic operator $A_α=Π_ΘT_{b_α}|_{\mathca…

Pseudo S-spectra of special operators in quaternionic Hilbert spaces

Norms of basic operators in vector valued model spaces and de Branges spaces

Pseudo $S$ -spectra of special operators in quaternionic Hilbert spaces