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1
Content available remote

Concerning distances of sets and distances of functions

100%
Gładysz S., Marczewski E., Ryll-Nardzewski C.
Colloquium Mathematicum
|
1961
|
tom 8
|
nr 1
71-75
2
Content available remote

Continuity of a homomorphism on commutative subalgebras is not sufficient for continuity

100%
Aniszczyk B., Frankiewicz R., Ryll-Nardzewski C.
Studia Mathematica
|
1991
|
tom 98
|
nr 3
247-248
3
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Selecting basic sequences in φ-stable Banach spaces

100%
Figiel T., Frankiewicz R., Komorowski R., Ryll-Nardzewski C.
Studia Mathematica
|
2003
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tom 159
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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).
4
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An example of a nonseparable Banach algebra without nonseparable commutative subalgebras

100%
Aniszczyk B., Frankiewicz R., Ryll-Nardzewski C.
Studia Mathematica
|
1989
|
tom 93
|
nr 3
287-289
5
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Remarks on the Poisson Stochastic Process, I

100%
Florek K., Marczewski E., Ryll-Nardzewski C.
Studia Mathematica
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1953
|
tom 13
|
nr 1
122-129
6
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Théorèmes ergodiques et leurs applications

100%
Hartman S., Marczewski E., Ryll-Nardzewski C.
Colloquium Mathematicum
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1949-1950
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tom 2
|
nr 2
109-123
7
Content available remote

Remarks on the compactness and non direct products of measures

99%
Marczewski E., Ryll-Nardzewski C.
Fundamenta Mathematicae
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1953
|
tom 40
|
nr 1
165-170
8
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Projections in abstract sets

74%
Marczewski E., Ryll-Nardzewski C.
Fundamenta Mathematicae
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1953
|
tom 40
|
nr 1
160-164
9
Content available remote

Une remarque sur la convergence faible

74%
Ryll-Nardzewski C.
Fundamenta Mathematicae
|
1948
|
tom 35
|
nr 1
240-241
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