A trace formula of a boundary value problem for the operator Sturm-Liouville equation.
A trace inequality for functions of triangular Hilbert-Schmidt operators
A transmission problem
A Twistor Correspondence for Homogeneous Polynomial Differential Operators.
A Two Hilbert Space Scattering Theorem.
A two parameters Ambrosetti-Prodi problem.
A two-dimensional Hammerstein problem: The linear case.
A unified analysis of elliptic problems with various boundary conditions and their approximation
We design an abstract setting for the approximation in Banach spaces of operators acting in duality. A typical example are the gradient and divergence operators in Lebesgue-Sobolev spaces on a bounded domain. We apply this abstract setting to the numerical approximation of Leray-Lions type problems, which include in particular linear diffusion. The main interest of the abstract setting is to provide a unified convergence analysis that simultaneously covers (i) all usual boundary conditions, (ii)...
A Unified Approach for Constructing Fast Two-Step Newton-like Methods.
A unified approach to the strong approximation property and the weak bounded approximation property of Banach spaces
We consider convex versions of the strong approximation property and the weak bounded approximation property and develop a unified approach to their treatment introducing the inner and outer Λ-bounded approximation properties for a pair consisting of an operator ideal and a space ideal. We characterize this type of properties in a general setting and, using the isometric DFJP-factorization of operator ideals, provide a range of examples for this characterization, eventually answering a question...
A uniform estimate for quartile operators.
There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...
A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.
A unifying semilocal convergence theorem for Newton-like methods in Banach space.
A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.
A unitary invariant for pairs of self-adjoint operators.
A universal non-compact operator
A universal property of -semigroups
Let be a -semigroup with unbounded generator . We prove that has generically a very irregular behaviour for as .
A useful algebra for functional calculus
We show that some unital complex commutative LF-algebra of -tempered functions on (M. Hemdaoui, 2017) equipped with its natural convex vector bornology is useful for functional calculus.
A Useful Banach Algebra.
A variant of a fixed point theorem of Browder-Fan and Reich.