𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Concerning perfect Fréchet spaces and diagonal transformations

✍ Scribed by G. Crofts

Publisher
Springer
Year
1969
Tongue
English
Weight
606 KB
Volume
182
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Perfect Fréchet Spaces
Perfect Fréchet Spaces
✍ Ed Dubinsky 📂 Article 📅 1967 🏛 Springer 🌐 English ⚖ 609 KB
A New Class of Perfect Fréchet Spaces
A New Class of Perfect Fréchet Spaces
✍ Fernando Cobos 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 705 KB

This paper deals with a new class of perfect FRECHET spaces which can be obtained by interpolation of echelon spaces: Zp,q[am,n]. We determine the reflexive, XONTXL, SCHWARTZ, totally reflexive, totally YONTEL and nuclear spaces Zp.q[am,n]. We also derive results on closed subspaces of the spaces (Z

Weakly Fréchet–Urysohn and Pytkeev space
Weakly Fréchet–Urysohn and Pytkeev spaces
✍ V.I. Malykhin; G. Tironi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 94 KB

We study a new pointwise topological property, the weak Fréchet-Urysohn property, introduced by Reznichenko. We also study the property introduced by Pytkeev in 1983. It is proved that sequentiality is strictly stronger than the Pytkeev property, which is strictly stronger than the wFU property, whi

Bases and quasi-reflexivity in Fréchet s
Bases and quasi-reflexivity in Fréchet spaces
✍ Manuel Valdivia 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 283 KB

## Abstract A Fréchet space __E__ is quasi‐reflexive if, either dim(__E__″/__E__) < ∞, or __E__″[__β__(__E__″,__E__′)]/__E__ is isomorphic to __ω__. A Fréchet space __E__ is totally quasi‐reflexive if every separated quotient is quasi‐reflexive. In this paper we show, using Schauder bases, that __E