Banach-Space Operators Acting on Semicircular Elements Induced by Orthogonal Projections
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DOI: 10.1007/s11785-019-00951-w
Abstract: The main purposes of this paper are (i) to construct-and-study weighted-semicircular elements from mutually orthogonal $$\left| \mathbb {Z} \right| $$ -many projections, and the Banach $$*$$ -probability space $$\mathbb {L}_{Q}$$ generated by these operators, (ii)… read more here.
Keywords: operators acting; banach space; space; projections banach ... See more keywords
Hilbert space operators with compatible off-diagonal corners
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DOI: 10.1016/j.jfa.2018.04.002
Abstract: Given a complex, separable Hilbert space $\mathcal{H}$, we characterize those operators for which $\| P T (I-P) \| = \| (I-P) T P \|$ for all orthogonal projections $P$ on $\mathcal{H}$. When $\mathcal{H}$ is finite-dimensional,… read more here.
Keywords: space operators; compatible diagonal; space; hilbert space ... See more keywords
A-numerical radius inequalities for semi-Hilbertian space operators
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DOI: 10.1016/j.laa.2019.05.012
Abstract: Let $A$ be a positive bounded operator on a Hilbert space $\big(\mathcal{H}, \langle \cdot, \cdot\rangle \big)$. The semi-inner product ${\langle x, y\rangle}_A := \langle Ax, y\rangle$, $x, y\in\mathcal{H}$ induces a semi-norm ${\|\cdot\|}_A$ on $\mathcal{H}$. Let… read more here.
Keywords: numerical radius; space; semi hilbertian; hilbertian space ... See more keywords