Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...

Mathematician Per Enflo, who solved a huge chunk of the 'invariant subspaces problem' decades ago, may have just finished his work. When you purchase through links on our site, we may earn an ...

Abstract. Motivated by a result of Ky Fan in 1965, we establish a characterization of a left amenable F-algebra (which includes the group algebra and the Fourier algebra of a locally compact group and ...

Suppose H is a complex Hilbert space and T ∈ L(H) is a bounded operator. For each closed set F $\subset$ C let HT(F) denote the corresponding spectral manifold. Let σloc(T) denote the set of all ...

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