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1
Content available remote

On asymptotic density and uniformly distributed sequences

100%
Frankiewicz R., Plebanek G.
Studia Mathematica
|
1996
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tom 119
|
nr 1
17-26
EN
Assuming Martin's axiom we show that if X is a dyadic space of weight at most continuum then every Radon measure on X admits a uniformly distributed sequence. This answers a problem posed by Mercourakis [10]. Our proof is based on an auxiliary result concerning finitely additive measures on ω and asymptotic density.
2
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Continuity of a homomorphism on commutative subalgebras is not sufficient for continuity

81%
Aniszczyk B., Frankiewicz R., Ryll-Nardzewski C.
Studia Mathematica
|
1991
|
tom 98
|
nr 3
247-248
3
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Fat P-sets in the Space ω*

81%
Frankiewicz R., Grzech M., Zbierski P.
Bulletin of the Polish Academy of Sciences. Mathematics
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2005
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tom 53
|
nr 2
121-129
EN
We prove that-consistently-in the space ω* there are no P-sets with the ℂ-cc and any two fat P-sets with the ℂ⁺-cc are coabsolute.
4
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Selecting basic sequences in φ-stable Banach spaces

81%
Figiel T., Frankiewicz R., Komorowski R., Ryll-Nardzewski C.
Studia Mathematica
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2003
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tom 159
|
nr 3
499-515
EN
In this paper we make use of a new concept of φ-stability for Banach spaces, where φ is a function. If a Banach space X and the function φ satisfy some natural conditions, then X is saturated with subspaces that are φ-stable (cf. Lemma 2.1 and Corollary 7.8). In a φ-stable Banach space one can easily construct basic sequences which have a property P(φ) defined in terms of φ (cf. Theorem 4.5). This leads us, for appropriate functions φ, to new results on the existence of unconditional basic sequences with some special properties as well as new proofs of some known results. In particular, we get a new proof of the Gowers dichotomy theorem which produces the best unconditionality constant (also in the complex case).
5
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An example of a nonseparable Banach algebra without nonseparable commutative subalgebras

81%
Aniszczyk B., Frankiewicz R., Ryll-Nardzewski C.
Studia Mathematica
|
1989
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tom 93
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nr 3
287-289
6
Content available remote

On inhomogeneity of products of compact F-spaces

80%
Frankiewicz R., Kunen K., Zbierski P.
Fundamenta Mathematicae
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1988
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tom 129
|
nr 1
35-38
7
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Solution of Kuratowski's problem on function having the Baire property, I

80%
Frankiewicz R., Kunen K.
Fundamenta Mathematicae
|
1987
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tom 128
|
nr 3
171-180
8
Content available remote

Non-accessible points in extremally disconnected compact spaces I

79%
Frankiewicz R.
Fundamenta Mathematicae
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1981
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tom 111
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nr 2
115-123
9
Content available remote

Some remarks on embeddings of Boolean algebras and topological spaces

79%
Frankiewicz R.
Fundamenta Mathematicae
|
1985-1986
|
tom 126
|
nr 1
63-68
10
Content available remote

On minimal generators of σ-fields

60%
Aniszczyk B., Frankiewicz R.
Fundamenta Mathematicae
|
1984
|
tom 124
|
nr 2
131-134
11
Content available remote

Nonaccessible filters in measure algebras and functionals on $L^{∞}(λ)*$

60%
Frankiewicz R., Plebanek G.
Studia Mathematica
|
1994
|
tom 108
|
nr 2
191-200
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