Israel Journal of Mathematics最新文献_第4页

Chains of path geometries on surfaces: theory and examples 曲面上的路径几何链：理论与实例

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-08-04 DOI: 10.1007/s11856-024-2633-x

Gil Bor, Travis Willse

引用次数: 0

Polygonal functional calculus for operators with finite peripheral spectrum 有限外围谱算子的多边形函数微积分

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-08-04 DOI: 10.1007/s11856-024-2632-y

Oualid Bouabdillah, Christian Le Merdy

{"title":"Polygonal functional calculus for operators with finite peripheral spectrum","authors":"Oualid Bouabdillah, Christian Le Merdy","doi":"10.1007/s11856-024-2632-y","DOIUrl":"https://doi.org/10.1007/s11856-024-2632-y","url":null,"abstract":"Let T: X → X be a bounded operator on Banach space, whose spectrum σ(T) is included in the closed unit disc (overline{mathbb{D}}). Assume that the peripheral spectrum (sigma(T)capmathbb{T}) is finite and that T satisfies a resolvent estimate$$Vert(z-T)^{-1}Vertlesssimmax{vert z-xivert^{-1}:xiinsigma(T)capmathbb{T}}, zinoverline{mathbb{D}}^{c}.$$We prove that T admits a bounded polygonal functional calculus, that is, an estimate ∥ϕ(T)∥ ≲ sup{∣ϕ(z)∣: z ∈ Δ} for some polygon Δ ⊂ ⅅ and all polynomials ϕ, in each of the following two cases: (i) either X = Lp for some 1 < p < ∞, and T: Lp → Lp is a positive contraction; or (ii) T is polynomially bounded and for all (xiinsigma(T)capmathbb{T}), there exists a neighborhood (cal{V}) of ξ such that the set ({(xi-z)(z-T)^{-1}:zincal{V}capoverline{mathbb{D}}^{c}}) is R-bounded (here X is arbitrary). Each of these two results extends a theorem of de Laubenfels concerning polygonal functional calculus on Hilbert space. Our investigations require the introduction, for any finite set (Esubsetmathbb{T}), of a notion of RittE operator which generalizes the classical notion of Ritt operator. We study these RittE operators and their natural functional calculus.","PeriodicalId":14661,"journal":{"name":"Israel Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nondivergence on homogeneous spaces and rigid totally geodesic submanifolds 同质空间上的非发散性和刚性全测地子线面

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-08-04 DOI: 10.1007/s11856-024-2645-6

Han Zhang, Runlin Zhang

引用次数: 0

On algebraically closed fields with a distinguished subfield 关于有区分子域的代数闭域

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI: 10.1007/s11856-024-2621-1

Christian d’Elbée, Itay Kaplan, Leor Neuhauser

引用次数: 0

Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements 有两个共轭类 p 元素的有限群中的 p-Brauer 字符边界

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI: 10.1007/s11856-024-2613-1

Nguyen Ngoc Hung, Benjamin Sambale, Pham Huu Tiep

{"title":"Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements","authors":"Nguyen Ngoc Hung, Benjamin Sambale, Pham Huu Tiep","doi":"10.1007/s11856-024-2613-1","DOIUrl":"https://doi.org/10.1007/s11856-024-2613-1","url":null,"abstract":"Let k(B0) and l(B0) respectively denote the number of ordinary and p-Brauer irreducible characters in the principal block B0 of a finite group G. We prove that, if k(B0)−l(B0) = 1, then l(B0) ≥ p − 1 or else p = 11 and l(B0) = 9. This follows from a more general result that for every finite group G in which all non-trivial p-elements are conjugate, l(B0) ≥ p − 1 or else p = 11 and (G/{{bf{O}}_{{p^prime }}}(G) cong C_{11}^2, rtimes,{rm{SL}}(2,5)). These results are useful in the study of principal blocks with few characters.We propose that, in every finite group G of order divisible by p, the number of irreducible Brauer characters in the principal p-block of G is always at least (2sqrt {p - 1} + 1 - {k_p}(G)), where kp(G) is the number of conjugacy classes of p-elements of G. This indeed is a consequence of the celebrated Alperin weight conjecture and known results on bounding the number of p-regular classes in finite groups.","PeriodicalId":14661,"journal":{"name":"Israel Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140799595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Altered local uniformization of rigid-analytic spaces 刚性解析空间的改变局部均匀化

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI: 10.1007/s11856-024-2628-7

Bogdan Zavyalov

{"title":"Altered local uniformization of rigid-analytic spaces","authors":"Bogdan Zavyalov","doi":"10.1007/s11856-024-2628-7","DOIUrl":"https://doi.org/10.1007/s11856-024-2628-7","url":null,"abstract":"We prove a version of Temkin’s local altered uniformization theorem. We show that for any rig-smooth, quasi-compact and quasi-separated admissible formal ({{cal O}_K})-model (mathfrak{X}), there is a finite extension K′/K such that ({mathfrak{X}_{{{cal O}_{{K^prime }}}}}) locally admits a rig-étale morphism (g:{mathfrak{X}^prime } to {mathfrak{X}_{{{cal O}_{{K^prime }}}}}) and a rig-isomorphism (h:{mathfrak{X}^{prime prime }} to {mathfrak{X}^prime}) with ({mathfrak{X}^prime }) being a successive semi-stable curve fibration over ({{cal O}_{{K^prime }}}) and ({mathfrak{X}^{prime prime }}) being a polystable formal ({{cal O}_{{K^prime }}})-scheme. Moreover, ({mathfrak{X}^prime }) admits an action of a finite group G such that (g:{mathfrak{X}^prime } to {mathfrak{X}_{{{cal O}_{{K^prime }}}}}) is G-invariant, and the adic generic fiber (mathfrak{X}_{{K^prime }}^prime ) becomes a G-torsor over its quasi-compact open image (U = {g_{{K^prime }}}(mathfrak{X}_{{K^prime }}^prime )). Also, we study properties of the quotient map ({mathfrak{X}^prime }/G to {mathfrak{X}_{{{cal O}_{{K^prime }}}}}) and show that it can be obtained as a composition of open immersions and rig-isomorphisms.","PeriodicalId":14661,"journal":{"name":"Israel Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A topological insight into the polar involution of convex sets 凸集极性内卷的拓扑学启示

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI: 10.1007/s11856-024-2622-0

Luisa F. Higueras-Montaño, Natalia Jonard-Pérez

{"title":"A topological insight into the polar involution of convex sets","authors":"Luisa F. Higueras-Montaño, Natalia Jonard-Pérez","doi":"10.1007/s11856-024-2622-0","DOIUrl":"https://doi.org/10.1007/s11856-024-2622-0","url":null,"abstract":"Denote by ({cal K}_0^n) the family of all closed convex sets A ⊂ ℝn containing the origin 0 ∈ ℝn. For (A in {cal K}_0^n), its polar set is denoted by A°. In this paper, we investigate the topological nature of the polar mapping A → A° on (({cal K}_0^n,{d_{AW}})), where dAW denotes the Attouch–Wets metric. We prove that (({cal K}_0^n,{d_{AW}})) is homeomorphic to the Hilbert cube (Q = prodnolimits_{i = 1}^infty {[ - 1,1]} ) and the polar mapping is topologically conjugate with the standard based-free involution σ: Q → Q, defined by σ(x) = −x for all x ∈ Q. We also prove that among the inclusion-reversing involutions on ({cal K}_0^n) (also called dualities), those and only those with a unique fixed point are topologically conjugate with the polar mapping, and they can be characterized as all the maps (f:{cal K}_0^n to {cal K}_0^n) of the form f(A) = T(A°), with T a positive-definite linear isomorphism of ℝn.","PeriodicalId":14661,"journal":{"name":"Israel Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140809665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multiplicity of concentrating solutions for (p, q)-Schrödinger equations with lack of compactness 缺乏紧凑性的（p, q）薛定谔方程集中解的多重性

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI: 10.1007/s11856-024-2619-8

Vincenzo Ambrosio, Vicenţiu D. Rădulescu

{"title":"Multiplicity of concentrating solutions for (p, q)-Schrödinger equations with lack of compactness","authors":"Vincenzo Ambrosio, Vicenţiu D. Rădulescu","doi":"10.1007/s11856-024-2619-8","DOIUrl":"https://doi.org/10.1007/s11856-024-2619-8","url":null,"abstract":"We study the multiplicity of concentrating solutions for the following class of (p, q)-Laplacian problems$$left{{matrix{{- {Delta _p}u - {Delta _q}u + V(varepsilon ,x)({u^{p - 1}} + {u^{q - 1}}) = f(u) + gamma {u^{{q^ *} - 1}},{rm{in}},{mathbb{R}^N},} hfill cr {u in {W^{1,p}}({mathbb{R}^N}) cap {W^{1,q}}({mathbb{R}^N}),,,u > 0,,{rm{in}},,{mathbb{R}^N},} hfill cr}} right.$$where ε > 0 is a small parameter, (gamma in {0,1},,1 is the critical Sobolev exponent, ({Delta _s}u = {rm{div}}(|nabla u{|^{s - 2}}nabla u)), with s ∈ {p, q}, is the s-Laplacian operator, V: ℝN → ℝ is a positive continuous potential such that inf∂Λ V > infΛ V for some bounded open set Λ ⊂ ℝN, and f: ℝ → ℝ is a continuous nonlinearity with subcritical growth. The main results are obtained by combining minimax theorems, penalization technique and Ljusternik–Schnirelmann category theory. We also provide a multiplicity result for a supercritical version of the above problem by combining a truncation argument with a Moser-type iteration. As far as we know, all these results are new.","PeriodicalId":14661,"journal":{"name":"Israel Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140809502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the diameter of Cayley graphs of classical groups with generating sets containing a transvection 关于经典群的卡莱图直径，其生成集包含一个横切面

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI: 10.1007/s11856-024-2605-1

Martino Garonzi, Zoltán Halasi, Gábor Somlai

引用次数: 0

The Poisson Bracket Invariant on Surfaces 曲面上的泊松包围不变式

IF 1 2区数学

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI: 10.1007/s11856-024-2612-2

Jordan Payette

引用次数: 0