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Related papers: Erratum to " Almost Menger property in bitopologic…

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In this paper has been withrawn by the author due the error in the proof of theoem 1.

Quantum Physics · Physics 2007-05-23 Zai-Zhe Zhong

We consider mixed normed Bergman spaces on homogeneous Siegel domains. In the literature, two different approaches have been considered and several results seem difficult to be compared. In this paper we compare the results available in the…

Complex Variables · Mathematics 2023-11-13 Mattia Calzi , Marco M. Peloso

This paper corrects an error in [Keller-Ressel, M. and Steiner T. "Yield curve shapes and the asymptotic short rate distribution in affine one-factor models." Finance and Stochastics 12.2 (2008): 149-172]. The error concerns the correct…

Mathematical Finance · Quantitative Finance 2018-02-15 Martin Keller-Ressel

We propose a model theoretic interpretation of the theorems about the equivalence between mixed characteristic perfectoid spaces and their tilts.

Logic · Mathematics 2025-06-23 Silvain Rideau-Kikuchi , Thomas Scanlon , Pierre Simon

In this short note, it is shown that there is a gap in the proof of Theorem 11 in the paper of Meyer and Neutsch (J. of Algebra, 1993). We prove, nevertheless, that the statement of the theorem is true and fix the proof by using a certain…

Rings and Algebras · Mathematics 2018-03-09 Vladimir G. Tkachev

In our previous paper [9], we have introduced topological nearly entropy, Ent_N (f) by restricting X into a class of nearly compact spaces. In the present paper, some additional properties of this notion are studied. Furthermore, we…

Dynamical Systems · Mathematics 2019-08-07 Zabidin Salleh , Syazwani Gulamsarwar

We characterize the properties $(z)$ and $(az)$ for an operator $T$ whose dual $T^*$ has the SVEP on the complementary of the upper semi-Weyl spectrum of $T.$ If $S$ and $T$ are Banach space operators satisfying property $(z)$ or $(az),$ we…

Functional Analysis · Mathematics 2017-06-27 A. Arroud , H. Zariouh

This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.

Commutative Algebra · Mathematics 2007-05-23 Guillaume Rond

We introduce the notion of (almost isometric) local retracts in metric space as a natural non-linear version of the concepts of locally complemented and almost isometric ideals from Banach spaces. We prove that given two metric spaces…

Functional Analysis · Mathematics 2023-11-23 Andrés Quilis , Abraham Rueda Zoca

In this paper we make some observations concerning m-metric spaces and point out some discrepancies in the proofs found in the literature. To remedy this, we propose a new topological construction and prove that it is in fact a…

General Topology · Mathematics 2018-07-03 Samer Assaf

A serious flaw in the proof of the equivalence of continuous time state space models and MCARMA processes spotted in Fasen and Schenk (2024) is corrected. We point out that likewise an issue in the proof of Theorem 3.2 in Brockwell and…

Probability · Mathematics 2024-11-12 Robert Stelzer

This is a corrected version of our paper published in Osaka Journal of Mathematics 51(2014), 673-693. We correct Theorem~1.1, Proposition~3.3 and their proofs.

Differential Geometry · Mathematics 2015-05-12 Guangcun Lu , Xiaomin Chen

An error in the paper [J. Math. Phys. 43, 6343 (2002); math-ph/0207009] is corrected. Further explanation is given.

Mathematical Physics · Physics 2015-06-26 Ali Mostafazadeh

We construct a family of shift spaces with almost specification and multiple measures of maximal entropy. This answers a question from Climenhaga and Thompson [Israel J. Math. 192 (2012), no. 2, 785--817]. Elaborating on our examples we…

Dynamical Systems · Mathematics 2014-11-10 Dominik Kwietniak , Piotr Oprocha , Michał Rams

In this article, we examine an approximate version of Koldobsky-Blanco-Turn\v{s}ek theorem (namely, Property P) in the space of vector-valued integrable functions. More precisely, we prove that the Lebesgue-Bochner spaces…

Functional Analysis · Mathematics 2026-01-07 Mohit , Ranjana Jain

This is an erratum to 'On the quantitative distribution of polynomial nilsequences' [GT]. The proof of Theorem 8.6 of that paper, which claims a distribution result for multiparameter polynomial sequences on nilmanifolds, was incorrect. We…

Number Theory · Mathematics 2015-08-17 Ben Green , Terence Tao

The paper gives an improvement of the Trudinger-Moser inequality, in which the constraint set is defined not by the squared gradient norm, but with the squared gradient norm minus a remainder term of the weighted L^p-type. This is a…

Analysis of PDEs · Mathematics 2013-05-21 Cyril Tintarev

Menger conjectured that subsets of $\mathbb R$ with the Menger property must be $\sigma$-compact. While this is false when there is no restriction on the subsets of $\mathbb R$, for projective subsets it is known to follow from the Axiom of…

Logic · Mathematics 2018-03-26 Franklin D. Tall , Stevo Todorcevic , Seçil Tokgöz

We correct an error in the article "Property (RD) for Hecke pairs".

Operator Algebras · Mathematics 2012-12-13 Vahid Shirbisheh

In this paper, we prove the strong convergence theorems for nearly nonexpansive mappings, using the modified Picard-Mann hybrid iteration process in the context of uniformly convex Banach space.

Functional Analysis · Mathematics 2021-01-15 Adrian Ghiura