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<jats:p> Dual weak barrelledness led us to prove that <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">X</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">...
Let $K$ be a compact Hausdorff space and let $E$ be an infinite-dimensional real Banach space. We prove that there is no continuous bijection $h\colon C_p(K)\to E_w$ whose inverse is continuous at $h(0)$. Consequently, $C_p(K)$ and $C_w(L)$ are not homeomorphic for any infinite compact Hausdorff spaces $K$ and $L$. Thi...
<jats:p> Quite recently W. Ruess [Locally convex spaces not containing <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">\ell_{1}</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1...
<jats:p> In the pointwise topology, familiar function spaces <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">C_{p}(\beta\mathbb{N})</jats:tex-math> <mml:math xmlns:mml="http://www.w3.o...
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