Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces

Antiproximinal Sets in Banach Spaces of

Antiproximinal Sets in Banach Spaces of Continuous Vector-Valued Functions

✍ Ştefan Cobzaş 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 123 KB

A closed nonvoid subset Z of a Banach space X is called antiproximinal if no point outside Z has a nearest point in Z. The aim of the present paper is to prove that, for a compact Hausdorff space T and a real Banach space E, the Banach space C T E , of all continuous functions defined on T and with

Bergman and Bloch spaces of vector-value

Bergman and Bloch spaces of vector-valued functions

✍ José Luis Arregui; Oscar Blasco 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 265 KB

## Abstract We investigate Bergman and Bloch spaces of analytic vector‐valued functions in the unit disc. We show how the Bergman projection from the Bochner‐Lebesgue space __L~p~__(𝔻, __X__) onto the Bergman space __B~p~__(__X__) extends boundedly to the space of vector‐valued measures of bounded

Spaces of vector-valued functions and th

Spaces of vector-valued functions and their duals

✍ Walter Roth 📂 Article 📅 2012 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB

## Abstract We consider spaces of continuous vector‐valued functions on a locally compact Hausdorff space, endowed with classes of locally convex topologies, which include and generalize various known ones such as weighted space‐ or inductive limit‐type topologies. The main result states that every

Gelfand-Phillips Property in a Banach Sp

Gelfand-Phillips Property in a Banach Space of Vector Valued Measures

✍ G. Of Emmanuele Catania 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB 👁 1 views

In this paper (8, Z, p) will always denote a finite measure space and X a BA-NACH space. K ( p , 9) will denote the BANACH space of p-continuous X-valued measures G defined on L ? having relatively coinpact range, endowed with the semivariation norm (see Purpose of this note is to show that if X is

Gelfand-Phillips Property in a Banach Sp

Gelfand-Phillips Property in a Banach Space of Vector Valued Measures

✍ G. Of Emmanuele Catania 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB 👁 1 views

In this paper (8, Z, p) will always denote a finite measure space and X a BA-NACH space. K ( p , 9) will denote the BANACH space of p-continuous X-valued measures G defined on L ? having relatively coinpact range, endowed with the semivariation norm (see Purpose of this note is to show that if X is

On the Barrelledness of the Vector-Value

On the Barrelledness of the Vector-Valued Bounded Function Space

✍ J.C. Ferrando 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 171 KB