identity operator


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identity operator

[ī′den·ə‚dē ‚äp·ə‚rād·ər]
(mathematics)
identity function
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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It can be seen that both of scattering operator and translation operator have the combination of L and [+ or -] (1/2) [I.sup.r] + K operators instead of using identity operator. So when using conventional Galerkin's scheme and RWG function to discretize the scattering and translation operators, this will lead to a more accuracy result [10].
Full Wave Modeling of Array Structures Using Generalized Single-Source Tangential Equivalence Principle Algorithm
First we note the fundamental difference between equations JMSIE and EHSIE, namely only the first one can lead to integral equations of the second kind, since the second one contains the rotation operator n x rather than the identity operator.
Surface and Volume Integral Equation Methods for Time-Harmonic Solutions of Maxwell's Equations
For g [equivalent to] I, the identity operator, Definition 2.1 reduces to the definition of partially relaxed strongly monotonicity, monotonicity and pseudomonotonicity of the bifunction F(*,*).
Some iterative methods for solving general bifunction variational inequalities
where [I.sub.2] is the identity operator on [H.sub.2].
Sampling theorem with optimum noise suppression
Let I be the identity operator on [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Abel transforms of positive linear operators on weighted spaces
* Identity operator: Considering the identity operator I, it is obvious that
Exploring the spectra of some classes of paired singular integral operators: the scalar and matrix cases
If g = I, the identity operator, then general variational inequality (2.6) is equivalent to finding u [member of] K such that
Auxiliary principle technique for solving general mixed variational inequalities
The linear space FL(V) is an algebra with identity I (the identity operator on Y), the multiplication being composition of operators.
Fuzzy linear transformations
Several "right" inverses [D.sup.-1.sub.q] of the Askey-Wilson divided difference operator, such that [D.sup.-1.sub.q] [D.sub.q] = I and I is the identity operator, were constructed in [20, 31, 33],
An algebra of integral operators
where I is the identity operator on [mathematical expression not reproducible].
Essential Norm of Difference of Composition Operators from Weighted Bergman Spaces to Bloch-Type Spaces
Indeed, the identity operator of the Banach lattice [L.sup.1][0, 1] is almost Dunford-Pettis and fails to be Dunford-Pettis.
Some results on AM-compact operators
[e.sub.1]) [PHI] (t, t) = I (the identity operator on X), for every t [greater than or equal to] 0;
On (h, k)-exponential stability of evolution operators in Banach spaces

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