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Corrigendum to the paper “The universal Banach space with a $K$ -suppression unconditional basis”

Taras O. Banakh, Joanna Garbulińska-Wegrzyn (2020)

Commentationes Mathematicae Universitatis Carolinae

We observe that the notion of an almost ${𝔉ℑ}_{K}$ -universal based Banach space, introduced in our earlier paper [1]: Banakh T., Garbulińska-Wegrzyn J., The universal Banach space with a $K$ -suppression unconditional basis, Comment. Math. Univ. Carolin. 59 (2018), no. 2, 195–206, is vacuous for $K = 1$ . Taking into account this discovery, we reformulate Theorem 5.2 from [1] in order to guarantee that the main results of [1] remain valid.

Density conditions in Fréchet and (DF)-spaces.

Klaus-Dieter. Bierstedt, José Bonet (1989)

Revista Matemática de la Universidad Complutense de Madrid

We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.

Direct summands of systems of continuous linear transformations [Book]

Uri Fixman, Frank A. Zorzitto (1979)

Dual characterization of the Dieudonné-Schwartz theorem on bounded sets.

Bosch, C., Kučera, J., McKennon, K. (1983)

International Journal of Mathematics and Mathematical Sciences

ELB holomorphic factorization over projective limit representations

Choi, Yun Sung (1990)

Portugaliae mathematica

Elements of finite closed descent in Banach and Fréchet algebras

Graham R. Allan (2005)

Banach Center Publications

This paper will give a brief survey of ideas related to 'elements of finite closed descent' in certain kinds of topological algebra.

Example of a sequentially incomplete regular inductive limit of Banach spaces.

Kučera, Jan, McKennon, Kelly (1990)

International Journal of Mathematics and Mathematical Sciences

Finite sums and products of commutators in inductive limit $C^{*}$ -algebras

Klaus Thomsen (1993)

Annales de l'institut Fourier

Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple $A F$ -algebras are extended to $C^{*}$ -algebras that are inductive limits of finite direct sums of homogeneous $C^{*}$ -algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.

GB*-Algebras associated with inductive limits of Hilbert spaces

S. van Eijndhoven, P. Kruszyński (1987)

Studia Mathematica

Holomorphic functions on fully nuclear spaces

Philip J. Boland, Seán Dineen (1978)

Bulletin de la Société Mathématique de France

Ideals in a C*-Algebra.

G.K. Pedersen, N.H. Petersen (1970)

Mathematica Scandinavica

Inductive limit of operators and its applications

J. Janas (1988)

Studia Mathematica

*-inductive limits and partition of unity.

Murali, V. (1989)

International Journal of Mathematics and Mathematical Sciences

Inductive Limits and Partitions of Unity.

Marc de Wilde (1971)

Manuscripta mathematica

Inductive limits and ...-tensor products.

Ralf Hollstein (1980)

Journal für die reine und angewandte Mathematik

Inductive limits of interval algebras: unitary orbits of positive elements.

Klaus Thomsen (1992)

Mathematische Annalen

Inductive limits of vector-valued sequence spaces.

José Bonet, Susanne Dierolf, Carmen Fernández (1989)

Publicacions Matemàtiques

Let L be a normal Banach sequence space such that every element in L is the limit of its sections and let E = ind En be a separated inductive limit of the locally convex spaces. Then ind L(En) is a topological subspace of L(E).

We construct the category of quotients of $ℒ ℑ$ -spaces and we show that it is Abelian. This answers a question of L. Waelbroeck from 1990.

Currently displaying 21 – 40 of 86

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Displaying 21 – 40 of 86

Corrigendum to the paper “The universal Banach space with a $K$ -suppression unconditional basis”

Density conditions in Fréchet and (DF)-spaces.

Direct summands of systems of continuous linear transformations [Book]

Dual characterization of the Dieudonné-Schwartz theorem on bounded sets.

ELB holomorphic factorization over projective limit representations

Elements of finite closed descent in Banach and Fréchet algebras

Example of a sequentially incomplete regular inductive limit of Banach spaces.

Finite sums and products of commutators in inductive limit $C^{*}$ -algebras

GB*-Algebras associated with inductive limits of Hilbert spaces

Holomorphic functions on fully nuclear spaces

Ideals in a C*-Algebra.

Inductive limit of operators and its applications

*-inductive limits and partition of unity.

Inductive Limits and Partitions of Unity.

Inductive limits and ...-tensor products.

Inductive limits of interval algebras: unitary orbits of positive elements.

Inductive limits of vector-valued sequence spaces.

Infinite Dimensional Holomrphy via Categorial Differential Calculus.

Inverse limits need not exist in the category of compact spaces and Feller kernels: a counterexample

La categorie Abelienne des quotients de type $ℒ F$

Currently displaying 21 – 40 of 86