TY - JOUR
T1 - Matrix Transformations, Measures of Noncompactness, and Applications
AU - Mohiuddine, S. A.
AU - Banaś, Józef
AU - Mursaleen, M.
AU - Patterson, Richard F.
AU - Alotaibi, Abdullah
AU - Aghajani, Asadollah
N1 - Mohiuddine, S. A., Banaś, Józef, Mursaleen, M., Patterson, Richard F., Alotaibi, Abdullah, Aghajani, Asadollah, Matrix Transformations, Measures of Noncompactness, and Applications, Journal of Function Spaces, 2014, 178042, 1 page, 2014. https://doi.org/10.1155/2014/178042
PY - 2014/1
Y1 - 2014/1
N2 - The significance of the theory of matrix transformations has been strikingly demonstrated in various contexts, for example, in Fourier analysis, analytic continuation, quantum mechanics, probability theory, and approximation theory. Also the theory of matrix transformations on one hand and measures of noncompactness on the other hand are successfully linked to obtain necessary and sufficient conditions for matrix maps between certain sequence spaces of a general class to be compact operators. Recently, these results on compact matrix operators have become a useful tool in the study of infinite system of differential and integrodifferential equations in sequence spaces.
AB - The significance of the theory of matrix transformations has been strikingly demonstrated in various contexts, for example, in Fourier analysis, analytic continuation, quantum mechanics, probability theory, and approximation theory. Also the theory of matrix transformations on one hand and measures of noncompactness on the other hand are successfully linked to obtain necessary and sufficient conditions for matrix maps between certain sequence spaces of a general class to be compact operators. Recently, these results on compact matrix operators have become a useful tool in the study of infinite system of differential and integrodifferential equations in sequence spaces.
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U2 - 10.1155/2014/178042
DO - 10.1155/2014/178042
M3 - Editorial
AN - SCOPUS:84901753070
SN - 2314-8896
VL - 2014
JO - Journal of Function Spaces
JF - Journal of Function Spaces
IS - 1
M1 - 178042
ER -