𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the mutually non isomorphic ℓp(ℓq) spaces

✍ Scribed by Pilar Cembranos; José Mendoza

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
150 KB
Volume
284
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

We extend a result of Pełczyński showing that { p ( q ) : 1 ≤ p, q ≤ ∞} is a family of mutually non isomorphic Banach spaces. Some results on complemented subspaces of p ( q ) are also given.

📜 SIMILAR VOLUMES

Non Integral Regularizing Operators on L
Non Integral Regularizing Operators on Lp- Spaces
✍ Jürgen Voigt 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 157 KB

## Abstract We present bounded positivity preserving operators from __L__~__p__~(ℝ) to __L__~__q__~ (__ℝ__), for 1 < __p__ < ∞, 1/p‐1/q < 1/2, which are not integral operators.

Canonical Operator Space Structures on N
Canonical Operator Space Structures on Non-Commutative Lp Spaces
✍ Francesco Fidaleo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 249 KB

We analyze canonical operator space structures on the non-commutative L p spaces L p ' (M; ., |) constructed by interpolation a la Stein Weiss based on two normal semifinite faithful weights ., | on a W\*-algebra M. We show that there is only one canonical (i.e. arising by interpolation) operator sp

Bernstein–Nikolskii and Plancherel–Polya
Bernstein–Nikolskii and Plancherel–Polya inequalities in Lp -norms on non-compact symmetric spaces
✍ Isaac Pesenson 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 211 KB

## Abstract By using Bernstein‐type inequality we define analogs of spaces of entire functions of exponential type in __L~p~__ (__X__), 1 ≤ __p__ ≤ ∞, where __X__ is a symmetric space of non‐compact. We give estimates of __L~p~__ ‐norms, 1 ≤ __p__ ≤ ∞, of such functions (the Nikolskii‐type inequali

On the Lp–Lq maximal regularity for the
On the Lp–Lq maximal regularity for the linear thermoelastic plate equation in a bounded domain
✍ Yuka Naito 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 261 KB

## Abstract This paper is concerned with the thermoelastic plate equations in a domain Ω: subject to the boundary condition: __u__|=__D__~ν~__u__|=θ|=0 and initial condition: (__u, u__~__t__~, θ)|~__t__=0~=(__u__~0~, __v__~0~, θ~0~). Here, Ω is a bounded domain in ℝ^__n__^(__n__≧2). We assume tha