Garland’s method with Banach coefficients

نویسندگان

چکیده

We prove a Banach version of Garland's method proving vanishing cohomology for groups acting on simplicial complexes. The novelty this new is that our condition applies to every reflexive space. This allows us deduce several criteria group with coefficients in classes spaces (uniformly curved spaces, Hilbertian and $L^p$ spaces). Using these criteria, we improve recent results regarding fixed point theorems random the triangular model give sharp lower bound conformal dimension boundary such groups. Also, derive stability respect p-Schatten norms.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Estimates of Normal Structure Coefficients of Banach Spaces

We obtained the estimates of Normal structure coefficient N(X) by NeumannJordan constant CNJ(X) of a Banach space X and found that X has uniform normal structure if CNJ(X) < (3 + √ 5)/4. These results improved both Prus’ [6] and Kato, Maligranda and Takahashi’s [4] work.

متن کامل

Banach Frames, Double Infinite Matrices and Wavelet Coefficients

In this paper we study the action of a double infinite matrix A on f ∈ H ν (weighted Banach space, 1 ≤ p ≤ ∞) and on its wavelet coefficients. Also, we find the frame condition for A−transform of f ∈ H ν whose wavelet series expansion is known.

متن کامل

Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients

In this paper, a modification of finite integration method (FIM) is combined with the radial basis function (RBF) method to solve a time-fractional convection-diffusion equation with variable coefficients. The FIM transforms partial differential equations into integral equations and this creates some constants of integration. Unlike the usual FIM, the proposed method computes constants of integ...

متن کامل

On the structure of Banach algebras associated with automorphisms. 2. Operators with measurable coefficients

In the present paper we continue the study of the structure of a Banach algebra B(A,Tg) generated by a certain Banach algebra A of operators acting in a Banach space D and a group {Tg}g∈G of isometries of D such that TgAT −1 g = A. We investigate the interrelations between the existence of the expectation of B(A,Tg) onto A, metrical freedom of the automorphisms of A induced by Tg and the dual a...

متن کامل

The Method of Coefficients

can be found in closed form by means of certain transformations on generating functions and the extraction of coefficients (see the end of section 3) suggested by Ira Gessel, and they comment: “He [Gessel] attributes this elegant technique, the ‘method of coefficients,’ to G. P. Egorychev.” Actually, in his book Integral Representation and Computation of Combinatorial Sums, Egorychev [4] (see [...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Analysis & PDE

سال: 2023

ISSN: ['2157-5045', '1948-206X']

DOI: https://doi.org/10.2140/apde.2023.16.861