Generalized derivation modulo the ideal of all compact operators
We give some results concerning the orthogonality of the range and the kernel of a generalized derivation modulo the ideal of all compact operators.
Salah Mecheri, Ahmed Bachir
wiley +1 more source
A note on best approximation and invertibility of operators on uniformly convex Banach spaces
It is shown that if X is a uniformly convex Banach space and S a bounded linear operator on X for which ‖I − S‖ = 1, then S is invertible if and only if . From this it follows that if S is invertible on X then either (i) dist(I, [S]) < 1, or (ii) 0 is the unique best approximation to I from [S], a natural (partial) converse to the well‐known sufficient
James R. Holub
wiley +1 more source
Code generation approaches for parallel geometric multigrid solvers
Software development for applications in computational science and engineering has become complex in recent years. This is mainly due to the increasing parallelism and heterogeneity in modern computer architectures and to the more realistic physical and ...
Köstler Harald +5 more
doaj +1 more source
On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
doaj +1 more source
Operator norms of Gauß-Weierstraß operators and their left quasi interpolants [PDF]
The paper deals with the Gauß–Weierstraß operators Wn and their left quasi interpolants W [r]. The quasi interpolants were defined by Paul Sablonni`ere in 2014.
ABEL, Ulrich
core +1 more source
SOME RESULTS ON OPERATORS CONSISTENT IN INVERTIBILITY [PDF]
In this paper, we investigate the conditions under which some classes of operators in a complex Hilbert space H are said to be consistent in invertibility.
Wabuya, Kikete, Stephen, Luketero
core +1 more source
On Quasi-invertibility and Quasi-similarity of Operators in Hilbert Space. [PDF]
In this paper we show that if two operators A and B are quasi-invertible then AB and BA are also quasi-similar. We also show that if two operators and are isometric is consistent in invertibility under further hypothesis.
S.W., Luketero +2 more
core +1 more source
A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups
In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨qk)
Khan Faiz Muhammad +3 more
doaj +1 more source
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
doaj +1 more source
On approximation properties of some non-positive Bernstein-Durrmeyer type operators
In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
doaj +1 more source

