köthe spaces Latest Research Papers

2020 ◽

pp. 1-32

Author(s):

Jesús M. F. Castillo ◽

Willian H. G. Corrêa ◽

Valentin Ferenczi ◽

Manuel González

Keyword(s):

Unit Circle ◽

Banach Spaces ◽

Local Stability ◽

Interpolation Method ◽

Complex Interpolation ◽

Analytic Family ◽

Köthe Spaces ◽

The Stability ◽

Stability Results ◽

Differential Process

We study the stability of the differential process of Rochberg and Weiss associated with an analytic family of Banach spaces obtained using the complex interpolation method for families. In the context of Köthe function spaces, we complete earlier results of Kalton (who showed that there is global bounded stability for pairs of Köthe spaces) by showing that there is global (bounded) stability for families of up to three Köthe spaces distributed in arcs on the unit circle while there is no (bounded) stability for families of four or more Köthe spaces. In the context of arbitrary pairs of Banach spaces, we present some local stability results and some global isometric stability results.

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On block basic sequences in non-Archimedean Köthe spaces

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1590199299 ◽

2020 ◽

Vol 27 (1) ◽

pp. 7-16

Author(s):

Wiesław Śliwa ◽

Agnieszka Ziemkowska-Siwek

Keyword(s):

Köthe Spaces

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On complemented subspaces of non-Archimedean Köthe spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.10.011 ◽

2019 ◽

Vol 470 (1) ◽

pp. 401-412

Author(s):

Wiesław Śliwa ◽

Agnieszka Ziemkowska

Keyword(s):

Complemented Subspaces ◽

Köthe Spaces

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Problems of existence of order copies of $$\ell ^\infty $$ ℓ ∞ and $$L_p(\nu )$$ L p ( ν ) in some non-Banach Köthe spaces

Positivity ◽

10.1007/s11117-019-00645-9 ◽

2019 ◽

Vol 23 (4) ◽

pp. 941-959

Author(s):

Henryk Hudzik ◽

Radosław Kaczmarek ◽

Yuwen Wang ◽

Marek Wójtowicz

Keyword(s):

Köthe Spaces

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Local approach to monotonicity properties in $$\psi $$ ψ -direct sums of Köthe spaces

Aequationes Mathematicae ◽

10.1007/s00010-018-0586-z ◽

2018 ◽

Vol 93 (1) ◽

pp. 121-135

Author(s):

Ryszard Płuciennik

Keyword(s):

Local Approach ◽

Direct Sums ◽

Monotonicity Properties ◽

Köthe Spaces

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Corrigendum to “The invariant subspace problem for non-Archimedean Köthe spaces” [J. Math. Anal. Appl. 453 (2) (2017) 1086–1110]

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.07.071 ◽

2018 ◽

Vol 459 (2) ◽

pp. 1296-1299

Author(s):

Henryk Kasprzak

Keyword(s):

Invariant Subspace ◽

Köthe Spaces ◽

Subspace Problem ◽

Invariant Subspace Problem

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Matrix Transformations on Köthe Spaces

Results in Mathematics ◽

10.1007/s00025-018-0787-8 ◽

2018 ◽

Vol 73 (1) ◽

Author(s):

Medine Yeşilkayagil

Keyword(s):

Matrix Transformations ◽

Köthe Spaces

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A study on certain Köthe spaces

Filomat ◽

10.2298/fil1803767y ◽

2018 ◽

Vol 32 (3) ◽

pp. 767-774 ◽

Cited By ~ 2

Author(s):

Medine Yeşilkayagil ◽

Feyzi Başar

Keyword(s):

Topological Properties ◽

Köthe Spaces ◽

Inclusion Relations ◽

The Matrix

Let A=(ank) be a K?the matrix. In this paper, we introduce the space ?bs(A) and we emphasize on some topological properties of the spaces c0(A), ?bs(A) and ?p(A) together with some inclusion relations, where 1 ? p ? 1.

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