Geodesic
Regular matrix methods of summability and real interpolation
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 75 (2021) no. 1, pp. 53-59.

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We show that the Banach–Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin–Prikry theorem on Ramsey sets. The results apply to several matrix methods of summability, such as Cesaro, Nørlund or Holder methods.
Keywords: Real interpolation spaces, regular methods of summability, Banach–Saks property 
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Kryczka, Andrzej; Kurlej, Konrad. Regular matrix methods of summability and real interpolation. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 75 (2021) no. 1, pp. 53-59. http://geodesic.mathdoc.fr/item/AUM_2021_75_1_a3/

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