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1

On separation theorems for subadditive and superadditive functionals

100%

Gajda Z., Kominek Z.

Studia Mathematica

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1991

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tom 100

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nr 1

25-38

EN

We generalize the well known separation theorems for subadditive and superadditive functionals to some classes of not necessarily Abelian semigroups. We also consider the problem of supporting subadditive functionals by additive ones in the not necessarily commutative case. Our results are motivated by similar extensions of the Hyers stability theorem for the Cauchy functional equation. In this context the so-called weakly commutative and amenable semigroups appear naturally. The relations between these two classes of semigroups are discussed at the end of the paper.

2

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Christensen measurability of polynomial functions and convex functions of higher orders

99%

Gajda Z.

Annales Polonici Mathematici

|

1986-1987

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tom 47

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nr 1

25-40

3

A theorem of the Hahn-Banach type and its applications

81%

Gajda Z., Smajdor A., Smajdor W.

Annales Polonici Mathematici

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1992

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tom 57

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nr 3

243-252

EN

Let Y be a subgroup of an abelian group X and let T be a given collection of subsets of a linear space E over the rationals. Moreover, suppose that F is a subadditive set-valued function defined on X with values in T. We establish some conditions under which every additive selection of the restriction of F to Y can be extended to an additive selection of F. We also present some applications of results of this type to the stability of functional equations.

4

Local stability of the functional equation characterizing polynomial functions

79%

Gajda Z.

Annales Polonici Mathematici

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1990-1991

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tom 52

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nr 2

119-137

5

Difference properties of higher orders for continuity and Riemann integrability

79%

Gajda Z.

Colloquium Mathematicum

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1987

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tom 53

|

nr 2

275-288

6

Weak difference properties of higher orders for the class $L_p(G)$

70%

Gajda Z.

Colloquium Mathematicum

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1988

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tom 56

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nr 1

153-167

Ograniczanie wyników

3 Annales Polonici Mathematici

2 Colloquium Mathematicum

1 Studia Mathematica

6 Gajda Z.

1 Kominek Z.

1 Smajdor A.

1 Smajdor W.

1 1992

1 1991

1 1990

1 1988

1 1987

1 1986

On separation theorems for subadditive and superadditive functionals

Christensen measurability of polynomial functions and convex functions of higher orders

A theorem of the Hahn-Banach type and its applications

Local stability of the functional equation characterizing polynomial functions

Difference properties of higher orders for continuity and Riemann integrability

Weak difference properties of higher orders for the class $L_p(G)$