Geodesic
Generalized Markov Projections and Matrix Summability
Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 311-316

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In [A1] is defined a class of Markov operators on C(X) (X compact T 2), called Generalized Averaging Operators (g.a.o.) which yield an easy solution to the following problem: given a fixed Markov operator T, find necessary and sufficient conditions on any other Markov operator R for the relation ker T ⊂ker R to hold. The main application of this is to inclusion relations between matrix summability methods. 
Atalla, Robert E. Generalized Markov Projections and Matrix Summability. Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 311-316. doi: 10.4153/CMB-1979-038-8
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     title = {Generalized {Markov} {Projections} and {Matrix} {Summability}},
     journal = {Canadian mathematical bulletin},
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     year = {1979},
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     number = {3},
     doi = {10.4153/CMB-1979-038-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-038-8/}
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