cSeyda Sezgek

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math.FA2026

Tilings and coverings by balls in $ℓ_{1}$

Carlo Alberto De Bernardi, Tommaso Russo, Şeyda Sezgek +1

A famous result of Klee from 1981 is that the Banach space $ℓ_{1} (κ)$ admits a disjoint tiling by balls of radius $1$ , for all cardinals $κ$ with $κ^{ω} = κ$ . Klee also observed that…

math.FA2026

Packings in classical Banach spaces

Carlo Alberto De Bernardi, Tommaso Russo, Şeyda Sezgek +1

We obtain several new results on the simultaneous packing and covering constant $γ (X)$ of a Banach space $X$ , and its lattice counterpart $γ^{*} (X)$ . Th…

math.FA2020

Some Subspaces of an FK Space and Deferred Cesàro Conullity

İlhan Daǧadur, Şeyda Sezgek

In this paper, we construct new important the subspaces $D_{p}^{q} S$ , $D_{p}^{q} W$ , $D_{p}^{q} F$ and $D_{p}^{q} B$ for a locally convex FK-space $X$ containing $ϕ$ , the space of fin…

math.FA2020

Deferred Cesàro conull FK spaces

İlhan Daǧadur, Şeyda Sezgek

In this paper, we study the (strongly) deferred Cesàro conull FK-spaces and we give some characterizations. We also apply these results to summability domains.

math.FA2020

Sub-matrix summability of sequence of sets

İ. Dağadur, Ş. Sezgek

The main purpose of this paper is to introduce the concepts of Wijsman $C_{λ}$ statistical convergence, Wijsman $C_{λ}$ summability and Wijsman $I$ - $C_{λ}$ summability for sequ…

Tilings and coverings by balls in ℓ1​

Packings in classical Banach spaces

Some Subspaces of an FK Space and Deferred Cesàro Conullity

Deferred Cesàro conull FK spaces

Sub-matrix summability of sequence of sets

Tilings and coverings by balls in $ℓ_{1}$