$H^{∞}$ is a Grothendieck space
From MaRDI portal
Publication:3316019
DOI10.4064/sm-75-2-193-216zbMath0533.46035OpenAlexW896441284MaRDI QIDQ3316019
Publication date: 1983
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/218480
Banach algebras of continuous functions, function algebras (46J10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Lattices of continuous, differentiable or analytic functions (46E05) Nonstandard functional analysis (46S20)
Related Items (18)
Factorization of homomorphisms through \(H^{\infty}\)(\(D\)) ⋮ Integral operators mapping into the space of bounded analytic functions ⋮ Some results about the spectrum of commutative Banach algebras under the weak topology and applications ⋮ Grothendieck $C(K)$-spaces and the Josefson–Nissenzweig theorem ⋮ The Grothendieck property in Marcinkiewicz spaces ⋮ New examples of non-reflexive Banach spaces with Pelczyński's property (V) ⋮ On the Dunford-Pettis property of the tensor product of $C(K)$ spaces ⋮ Rearrangements with supporting trees, isomorphisms and shift operators ⋮ Properties \((V)\) and \((wV)\) in projective tensor products ⋮ On \(\ell_\infty \)-Grothendieck subspaces ⋮ Intrinsic characterizations of perturbation classes on some Banach spaces ⋮ Asymptotics and isometries of weighted composition operators on Banach spaces of holomorphic functions ⋮ Pełczyński's property $V$ for spaces of compact operators ⋮ Grothendieck spaces: the landscape and perspectives ⋮ Weakly compact operators on \(H^{\infty}\) ⋮ On complemented copies of the space \(c_0\) in spaces \(C_p(X \times Y)\) ⋮ Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively ⋮ On essentially incomparable Banach spaces
This page was built for publication: $H^{∞}$ is a Grothendieck space
