Dirac operators lie at the heart of both mathematical physics and differential geometry, offering a unifying framework for the treatment of quantum mechanical systems and geometrical invariants. Their ...

Inverse spectral problems for integro-differential operators address the challenge of reconstructing the underlying operator – often comprising both differential and integral components – from its ...

Let T = H + iK be hyponormal and 𝜑 be a strictly monotone increasing continuous function on σ(H). We define $\tilde{\varphi}(T)$ by $\tilde{\varphi}(T)=\varphi (H)+iK$. In this paper, we show that if ...