A lemma on set functions and its applications

• Autorzy: P. Antosik S. Saeki

Abstrakty

EN

As simple consequences of the lemma we get Rosenthal's lemma, diagonal type theorems and lemmas.

Kategorie tematyczne

• 28B99: None of the above, but in this section

Twórcy

autor

P. Antosik

• Institute of Mathematics, Polish Academy of Sciences, Katowice Branch, Staromiejska 8/6, 40-013 Katowice, Poland

autor

S. Saeki

• Department of Mathematics, Kansas State University, Manhattan, Kansas 66506-2602, U.S.A.

• Książka: Different aspects of differentiability

Bibliografia

[1] P. Antosik, On the Mikusiński diagonal theorem, Bull. Acad. Polon. Sci. Math. 19 (1971), 305-310.
[2] P. Antosik, A lemma on matrices and its applications, Contemp. Math. 52 (1986), 89-95.
[3] P. Antosik and C. Swartz, Matrix Methods in Analysis, Lectures Notes in Math. 1113, Springer, Berlin, 1985.
[4] J. Diestel and J. J. Uhl, Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., 1977.
[5] L. Drewnowski, Uniform boundedness principle for finitely additive vector measures, Bull. Acad. Polon. Sci. Math. 21 (1972), 115-118.
[6] M. Florencio, P. J. Paul and J. M. Virues, On the Mikusiński-Antosik Diagonal Theorem, Bull. Acad. Polon. Sci. Math. 40 (1992), 189-195.
[7] J. Mikusiński, A theorem on vector matrices and its applications in measure theory and functional analysis, ibid. 18 (1970), 193-196.
[8] H. Weber, Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodym's boundedness theorem, Rocky Mountain J. Math. 16 (1986), 253-275.

• Kolekcja: DML-PL