Approximating the fixed points of some nonlinear operator equations

Ioannis K. Argyros

Displaying similar documents to “Approximating the fixed points of some nonlinear operator equations”

Gauss sums and the matrix equation $X X^{T} = 0$ over fields of characteristic two

John Perkins (1971)

Acta Arithmetica

Similarity:

Unpublished results on number theory I. Quadratic forms in a Euclidean ring

S. Lubelski (1961)

Acta Arithmetica

Similarity:

On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution

Carsten Schütt (1982)

Studia Mathematica

Similarity:

L-functions and character sums for quadratic forms (II)

H. Stark (1969)

Acta Arithmetica

Similarity:

Definite binary quadratic forms with class number one

Meinhard Peters (1980)

Acta Arithmetica

Similarity:

Symmetric subspaces of $l_{1}$ with large projection constants

Bruce Chalmers, Grzegorz Lewicki (1999)

Studia Mathematica

Similarity:

We construct k-dimensional (k ≥ 3) subspaces $V^{k}$ of $l_{1}$ , with a very simple structure and with projection constant satisfying $λ (V^{k}) \geq λ (V^{k}, l_{1}) > λ (l_{2}^{(k)})$ .

Gauss sums and the number of solutions to the matrix equation $X A X^{T} = 0$ over $G F (2^{y})$

Philip Buckhiester (1973)

Acta Arithmetica

Similarity:

Systems of quadratic diophantine inequalities

Wolfgang Müller (2005)

Journal de Théorie des Nombres de Bordeaux

Similarity:

Let $Q_{1}, \dots, Q_{r}$ be quadratic forms with real coefficients. We prove that for any $ϵ > 0$ the system of inequalities $| Q_{1} (x) | < ϵ, \dots, | Q_{r} (x) | < ϵ$ has a nonzero integer solution, provided that the system $Q_{1} (x) = 0, \dots, Q_{r} (x) = 0$ has a nonsingular real solution and all forms in the real pencil generated by $Q_{1}, \dots, Q_{r}$ are irrational and have rank $> 8 r$ .