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K-convergence entails absolute K-convergence in quasi-normed groups

Isidore Fleischer (2001)

Mathematica Slovaca

Köthe coechelon spaces as locally convex algebras

José Bonet, Paweł Domański (2010)

Studia Mathematica

We study those Köthe coechelon sequence spaces $k_{p} (V)$ , 1 ≤ p ≤ ∞ or p = 0, which are locally convex (Riesz) algebras for pointwise multiplication. We characterize in terms of the matrix V = (vₙ)ₙ when an algebra $k_{p} (V)$ is unital, locally m-convex, a -algebra, has a continuous (quasi)-inverse, all entire functions act on it or some transcendental entire functions act on it. It is proved that all multiplicative functionals are continuous and a precise description of all regular and all degenerate maximal ideals...

Köthe dual of Banach sequence spaces $ℓ_{p} [X]$ $(1 \leq p < \infty)$ and Grothendieck space

Cong Xin Wu, Qing-Ying Bu (1993)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we show the representation of Köthe dual of Banach sequence spaces $ℓ_{p} [X]$ $(1 \leq p < \infty) ...$

Köthe spaces modeled on spaces of $C^{\infty}$ functions

Mefharet Kocatepe, Viacheslav Zahariuta (1996)

Studia Mathematica

The isomorphic classification problem for the Köthe models of some $C^{\infty}$ function spaces is considered. By making use of some interpolative neighborhoods which are related to the linear topological invariant $D_{φ}$ and other invariants related to the “quantity” characteristics of the space, a necessary condition for the isomorphism of two such spaces is proved. As applications, it is shown that some pairs of spaces which have the same interpolation property $D_{φ}$ are not isomorphic.

Köthe-Toeplitz Duals of some new Sequence Spaces and Their Matrix Maps

Z.U. Ahmad, Mursaleen (1987)

Publications de l'Institut Mathématique

Kuttner's theorem for operators

I. J. Maddox (1974)

Compositio Mathematica

Currently displaying 1 – 6 of 6