Pathological Properties of Weak L^p Spaces

Ali Farokhinia, Ali Rastegar

Abstract


Weak Lp spaces, that are shown through this paper by L^pw, are function spaces that are closed to L^p spaces,but somehow larger. The question that we are going to partially answer in this paper, is that how much it is larger.Actually we prove that L^pw(R)nL^p(R) [ f0g contains an infinitely generated algebra.


Keywords


Algebrability, Lineability, Pathological Proper- ties, Weak Lp.

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References


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