Acta Mathematica Academiae Scientiarum Hungarica
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Some theorems on bestL 1-approximation of continuous functions
Acta Mathematica Academiae Scientiarum Hungarica - Tập 44 - Trang 409-417 - 1984
Über die geodätischen Abbildungen von Riemannschen Räumen auf projektiv-symmetrische Riemannsche Räume
Acta Mathematica Academiae Scientiarum Hungarica - - 1958
On the almost sure convergence for dependent random vectors in Hilbert spaces
Acta Mathematica Academiae Scientiarum Hungarica - Tập 139 - Trang 276-285 - 2012
This work develops almost sure convergence of negatively associated random vectors in Hilbert spaces. Extensions of a result in [4] are given. Illustrative examples are provided.
Variations on a theorem of Arhangel’skii and Pytkeev
Acta Mathematica Academiae Scientiarum Hungarica - Tập 131 - Trang 295-306 - 2010
We identify continuous real-valued functions on a Tychonoff space X with their (closed) graphs thus allowing for C(X) to naturally inherit the lower Vietoris topology from the ambient hyperspace. We then calculate a bitopological version of tightness using the weak Lindelöf numbers of finite powers of X. We also characterize bitopological versions of countable fan and strong fan tightness of the point-open topology with respect to the lower Vietoris topology on C(X) in terms of suitable covering properties of the powers X
n
formulated using the language of S
1 and S
fin selection principles.
Lattice Tensor Products i. Coordinatization
Acta Mathematica Academiae Scientiarum Hungarica - Tập 95 - Trang 261-279 - 2002
G. Grätzer and F. Wehrung introduced the lattice tensor product, A ⊠ B, of the lattices A and B. One of the most important properties is that for a simple and bounded lattice A, the lattice A ⊠ B is a congruence-preserving extension of B. The lattice A ⊠ B is defined as the set of certain subsets of A ⊠ B; there is no easy test when a subset belongs to A ⊠ B. A special case, M
3⊠B, was earlier defined by G. Gräatzer and F. Wehrung as M
3, the it Boolean triple construct, defined as a subset of B
3, with a simple criterion when a triple belongs. A~recent paper of G. Grätzer and E. T. Schmidt illustrates the importance of this Boolean triple arithmetic. In this paper we show that for any finite lattice A, we can ``coordinatize"" A ⊠ B, that is, represent A ⊠ B as a subset of B
n (where n is the number of join-irreducible elements of A), and provide an effective criteria to recognize the n-tuples of elements of B that occur in this representation. To show the utility of this coordinatization, we reprove a special case of the above result: for a finite simple lattice A, the lattice A ⊠ B is a congruence-preserving extension of B.
On some problems of the statistical theory of partitions with application to characters of the symmetric group. III
Acta Mathematica Academiae Scientiarum Hungarica - Tập 32 - Trang 129-155 - 1978
Complete quasi-pseudo-metric spaces
Acta Mathematica Academiae Scientiarum Hungarica - Tập 59 Số 1 - Trang 121-146 - 1992
Drop theorems and lipschitzianness tests via maximality procedures
Acta Mathematica Academiae Scientiarum Hungarica - Tập 39 - Trang 17-25 - 1982
Counterexamples to a conjecture of Dombi in additive number theory
Acta Mathematica Academiae Scientiarum Hungarica - Tập 169 - Trang 562-565 - 2023
We disprove a 2002 conjecture of Dombi from additive number
theory. More precisely, we find examples of sets
$$A \subset \mathbb{N}$$
with the property
that
$$\mathbb{N} \setminus A$$
is infinite, but the sequence
$$n \rightarrow |\{ (a,b,c): \ n=a+b+c $$
and
$$ a,b,c \in A \}|$$
counting the number of
$$3$$
-compositions using elements of
$$A$$
only, is strictly
increasing.
Banach spaces with a shrinking hyperorthogonal basis
Acta Mathematica Academiae Scientiarum Hungarica - Tập 54 - Trang 181-184 - 1989
Tổng số: 3,809
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