We present deviation inequalities of random operators of the form $N^{-1}\sum_{i=1}^{N}X_{i}\otimes X_{i}$ from the average operator ${\Bbb E}(X\otimes X)$, where $X ...
Abstract Let A be an n × n Hermitian matrix and A = UΛUH be its spectral decomposition, where U is a unitary matrix of order n and Λ is a diagonal matrix. In this note we present the perturbation ...
Drazin inverses and their modern generalisations constitute a pivotal area of operator theory within Banach algebras. These inverse concepts extend the classic notion of the matrix inverse to settings ...
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