For a bounded linear operator T on a complex Hilbert space 𝓗, let ${\mathrm{\Delta }}_{\mathrm{T},\mathrm{m}}=\sum _{\mathrm{k}=0}^{\mathrm{m}}(-1{)}^{\mathrm{k ...
Left and right resolvents of left and right generalized Drazin invertible operators are introduced in this paper. The construction of left and right resolvents allows us to find, in terms of the ...
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Study shows that duality operators can be realized as unitary linear-depth quantum circuits
In the context of quantum physics, the term "duality" refers to transformations that link apparently distinct physical theories, often unveiling hidden symmetries. Some recent studies have been aimed ...
Banach spaces, as complete normed vector spaces, form the backbone of modern functional analysis and provide the setting for analysing a wide range of linear operators. Generalised inverses extend the ...
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