On Interpolation Spaces with the Gelfand-Phillips Property

A Gelfand-Phillips Property with Respect

A Gelfand-Phillips Property with Respect to the Weak Topology

✍ Denny H. Leung 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 328 KB 👁 1 views

## Abstract We consider a Gelfand‐Phillips type property for the weak topology. The main results that we obtain are (1) for certain Banach spaces, __E__^˜^~ϵ~ __F__ inherits this property from __E__ and __F__, and (2) the spaces __L__^p^(μ, __E__) have this property when __E__ does. A subset __A__

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

Interpolation properties of Besov spaces

Interpolation properties of Besov spaces defined on metric spaces

✍ Amiran Gogatishvili; Pekka Koskela; Nageswari Shanmugalingam 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 198 KB

## Abstract Let __X__ = (__X__, __d__, __μ__)be a doubling metric measure space. For 0 < __α__ < 1, 1 ≤__p__, __q__ < ∞, we define semi‐norms equation image When __q__ = ∞ the usual change from integral to supremum is made in the definition. The Besov space __B~p, q~^α^__ (__X__) is the set of th

Quantum logics with the Riesz Interpolat

Quantum logics with the Riesz Interpolation Property

✍ Anatolij Dvurečenskij; Pavel Pták 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 105 KB

## Abstract We study the quantum logics which satisfy the Riesz Interpolation Property. We call them the RIP logics. We observe that the class of RIP logics is considerable large—it contains all lattice quantum logics and, also, many (infinite) non‐lattice ones. We then find out that each RIP logic

Essential Spectra on Spaces with the Dun

Essential Spectra on Spaces with the Dunford-Pettis Property

✍ Khalid Latrach 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 123 KB

The purpose of this paper is to investigate the invariance, under weakly compact perturbations, of various essential spectrums of closed, densely defined linear operators acting on Banach spaces which possess the Dunford-Pettis property. Both bounded and unbounded perturbations are considered.