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Unfortunately the proof of the main result of [1], Theorem 1, has a flaw. Namely, Lemma 13 used in the proof of Proposition 11 is correct only under an additional assumption that the operator $A$ is normal (adjoint for the one-sided shift…

谱理论 · 数学 2020-12-29 Artem Dudko , Rostislav Grigorchuk

This is an erratum to the article: "Computation of maximal projection constants" (J. Funct. Anal., 277). The statement of Lemma 3.1(2) of that paper is incorrect. As a consequence of this the proof of Theorem 1.4 is incomplete. In this…

泛函分析 · 数学 2024-06-27 Giuliano Basso

We amend the statement of point~(i) in Theorem~1.3 in arxiv:0901.1022 and supply the additional arguments and minor changes for the results that depend on it. We also seize the occasion and generalize to non-finitely generated lattices.

群论 · 数学 2019-08-29 Pierre-Emmanuel Caprace , Nicolas Monod

This note corrects conditions in Proposition 3.4 and Theorem 5.2(ii) and comments on imprecisions in Propositions 4.2 and 4.4 in Fissler and Ziegel (2016).

统计理论 · 数学 2021-02-01 Tobias Fissler , Johanna F. Ziegel

The purpose of this erratum is to correct the proof of Theorem A.0.1 in the appendix to our article ``Hadamard spaces with isolated flats'' math.GR/0411232, which was jointly authored by Mohamad Hindawi, Hruska and Kleiner. In that…

群论 · 数学 2014-11-11 G. Christopher Hruska , Bruce Kleiner

This erratum remedies errors in the literature pertaining to the stable Adams conjecture. As part of the above corrections, we also identify and fix two errors in section 4 of our recent article on the subject. We thank E. Fridelander for…

代数拓扑 · 数学 2026-02-25 Prasit Bhattacharya , Nitu Kitchloo

We correct Definition 6.3, Proposition 6.7, and Section 7 in the published version of our paper.

组合数学 · 数学 2011-05-30 Alan Guo , Ezra Miller

This is an addendum to a previous article, which aims to provide the proofs of some results in that paper (Theorem 7.5 and Proposition 9.15) which were removed from its final version. The reason for such omission is that these proofs follow…

偏微分方程分析 · 数学 2018-12-19 Gabriel Araújo

A gap in the proof of Theorem 3.5 in the paper ``A new iteration process for approximation of common fixed points for finite families of total asymtotically nonexpansive mappings". Int. J. Math. Math. Sci. vol. 2009,…

泛函分析 · 数学 2012-04-10 C. E. Chidume , E. U. Ofoedu

The purpose of this erratum is to correct a mistake in the proof of Theorem 4.1 of our paper \cite{CF}.

微分几何 · 数学 2015-05-19 Chris Connell , Benson Farb

Theorem 6.1.1 of [H.A.H.A.] on the existence of a model structure on the category of operads is not valid in the generality claimed. We present here a counter-example (due to B. Fresse) and a corrected version of the theorem.

量子代数 · 数学 2009-09-29 V. Hinich

In this article, the author provides full details of the proof of the concordance/isotopy problem. The first published proof, [5], accomplished this task only partially since there was an error, see the erratum [6], which damaged the main…

微分几何 · 数学 2018-08-23 Boris Botvinnik

The paper is divided in 2 parts. The first part is the original paper of the second and third authors arXiv:1202.5442v2. The second part is an erratum/addendum written in english and concatenated at the end of the former paper. In the…

几何拓扑 · 数学 2024-10-21 Pierre-Louis Blayac , Mickaël Crampon , Ludovic Marquis

In the article "Stochastic evolution equations for large portfolios of Stochastic Volatility models" (Arxiv:1701.05640) there is a mistake in the proof of Theorem 3.1. In this erratum we establish a weaker version of this Theorem and then…

概率论 · 数学 2019-09-30 Ben Hambly , Nikolaos Kolliopoulos

This short note is an erratum to arXiv:1306.4304, correcting the proof of one of its main results. It includes some counterexamples regarding infinite-dimensional unipotent groups and affine spaces that may be of independent interest.

代数几何 · 数学 2015-12-14 Dennis Gaitsgory , Sam Raskin

There is an error in the proof (but not the truth) of Theorem 3.2 in the author's 1985 paper "The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes" in "Communications in Mathematical Physics". The author…

数学物理 · 物理学 2025-06-23 Bernard S. Kay

In the erratum we correct a mistake (due to a wrong choice of basic polynomial invariants over Z[1/2]) in the original paper (v1). Using the correct basic polynomial invariants we improve our results and bounds on the annihilator. We also…

代数几何 · 数学 2015-08-05 Sanghoon Baek , Kirill Zainoulline , Changlong Zhong

Boris Shoikhet noticed that the proof of lemma 1 in section 2.3 of math.QA/0504420 contains an error. In this note I give a correct proof of this lemma which was suggested to me by Dmitry Tamarkin. The correction does not change the results…

量子代数 · 数学 2007-05-23 Vasiliy A. Dolgushev

The purpose of this erratum is to fill a gap in the proof of the `Composite Braid Theorem' in the manuscript "Studying Links Via Closed Braids IV: Composite Links and Split Links (SLVCB-IV)", Inventiones Math, \{bf 102\} Fasc. 1 (1990),…

几何拓扑 · 数学 2009-11-10 Joan S. Birman , William W. Menasco

An error occurs in a part of the statement and proof of Proposition 2.2 in Jour. Math. Anal. and Appl., 476, (2019), 53-85 that is corrected in this erratum. The revised result reveals a new and unexpected critical phenomenon, having…

概率论 · 数学 2023-08-08 Radu Dascaliuc , Tuan N. Pham , Enrique A. Thomann , Edward C. Waymire
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