compact operator

(redirected from Completely continuous)

compact operator

[¦käm‚pakt ′äp·ə‚rād·ər]
(mathematics)
A linear transformation from one normed vector space to another, with the property that the image of every bounded set has a compact closure.
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References in periodicals archive ?
Representing completely continuous operators through weakly [infinity]-compact operators.
2] be two bounded open sets in E such that [mathematical expression not reproducible] is completely continuous.
Hanafy, Completely continuous functions in intuitionistic fuzzy topological spaces, Czechoslovak Mathematical Journal, 53(4) (2003), 793-803
Then T(p) [subset] p and T : p [right arrow] p is completely continuous.
A continuous linear operator between Banach spaces is completely continuous if it maps every weakly convergent sequence to a norm convergent sequence.
It offers improved performance because of special working principle "length from width" with completely continuous integrated sub-process and problem free processing of a very large variety of materials (plain coloured or printed fabrics or fabrics with repeated widths) due to the overall machine concept that is designed for maximum flexibility.
N is said to be completely continuous if N(B) is relatively compact for every B [member of] [P.
3) hold, then the operator C is completely continuous on M.
offer more than 100 exercise while covering linear spaces, topological spaces, metric spaces, normed linear spaces and Banach spaces, inner product spaces and Hilbert spaces, linear functionals, types of convergence in function space, reproducing kernel Hilbert spaces, order relations in function spaces, operators in function space, completely continuous operators, approximation methods for linear operator equations, interval methods for operator equations, contraction mappings and iterative methods, Newton's method in Banach spaces, variants of Newton's methods, and homotopy and continuation methods and a hybrid method for a free-boundary problem.
An operator is called completely continuous if it is continuous and maps bounded sets into pre-compact sets.
In one project, Peaslee and his team of researchers are developing a new process that is completely continuous from start to finish, unlike many current steelmaking processes.

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