2 citations · 4 across the 22 of their papers we have counts for
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Weakly LUR norms and the Schur property
Szymon Draga, Tomasz Kania
A separable real or complex Banach space fails the Schur property if and only if it admits an equivalent Gâteaux smooth, weakly locally uniformly rotund norm which is not midpoint…
Twisting exponential spectra
Bence Horváth, Tomasz Kania
Klaja and Ransford exhibited a complex unital Banach algebra in which the exponential spectra of \(ab\) and \(ba\) differ away from zero, and asked whether this can occur in an alg…
Maximal right ideals of the Banach algebra of bounded operators on a Banach space
Tomasz Kania, Niels Jakob Laustsen
We study finitely generated maximal right ideals of the Banach algebra of bounded operators on a complex Banach space . Every maximal right ideal is either fixe…
Banach's Isometric Conjecture over the Complex Field
Antonio Acuaviva, Tomasz Kania
We complete Banach's isometric conjecture over the complex field. More precisely, if \(X\) is a complex normed space and, for some \(2\leqslant n<\dim_{\C}X\), all its \(n\)-dimens…
Pointwise function spaces over compacta are not weak Banach spaces
Tomasz Kania, Jerzy Kąkol
Let be a compact Hausdorff space and let be an infinite-dimensional real Banach space. We prove that there is no continuous bijection whose inverse…
Pure infiniteness and primary factorisation
Antonio Acuaviva, Bence Horváth, Tomasz Kania
We show that there is no real or complex indecomposable Banach space with the primary factorisation property (PFP). We relate the PFP of a Banach space to ring-theoretic infini…