Infinite linear spaces

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On Infinite Dimensional Linear Spaces.

Let X be an abstract linear space and let X* be the space of all linear functionals defined on X. Associated with each norm defined on X is its "norm set," the subspace L of X* consisting of those linear functionals which are continuous with respect to it. Our starting point is the observation that two norms in X define the same topology if and only if their norm sets are identical. This observ...

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application of measures of noncompactness to infinite system of linear equations in sequence spaces

g. darbo [rend. sem. math. univ. padova, 24 (1955) 84--92] used the measure of noncompactness to investigate operators whose properties can be characterized as being intermediate between those of contraction and compact operators. in this paper, we apply the darbo's fixed point theorem for solving infinite system of linear equations in some sequence spaces.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1994

ISSN: 0012-365X

DOI: 10.1016/0012-365x(92)00503-j