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63 sonuçtan 1-3 arası sonuçlar
Sayfa 716
In the present paper we deal with the general theory of homogeneous
decreasing sequences . Let & be a homogeneous partition of a space ( X , u ) .
Then all its elements are pairwise isomorphic homogeneous Lebesgue spaces ,
and the ...
In the present paper we deal with the general theory of homogeneous
decreasing sequences . Let & be a homogeneous partition of a space ( X , u ) .
Then all its elements are pairwise isomorphic homogeneous Lebesgue spaces ,
and the ...
Sayfa 717
A decreasing homogeneous sequence { { n } of partitions of a space ( X , u ) is
called a sequence of type { rn } if the rank of $ n / En - 1 is equal to rn , n = 1 , ... (
5o = { ) . We call such a sequence r - adic if rn = r , and dyadic if r = 2 . 3 ° .
A decreasing homogeneous sequence { { n } of partitions of a space ( X , u ) is
called a sequence of type { rn } if the rank of $ n / En - 1 is equal to rn , n = 1 , ... (
5o = { ) . We call such a sequence r - adic if rn = r , and dyadic if r = 2 . 3 ° .
Sayfa 721
Every homogeneous ergodic sequence { En } has a standard factor - sequence {
En } finitarily isomorphic to { { n } . Proof . Let { 5n } € N ( { En } ) ( see Proposition
2.1 ) , and let $ = Vn Sn . The partition 5 consists of single - layer elements ( with ...
Every homogeneous ergodic sequence { En } has a standard factor - sequence {
En } finitarily isomorphic to { { n } . Proof . Let { 5n } € N ( { En } ) ( see Proposition
2.1 ) , and let $ = Vn Sn . The partition 5 consists of single - layer elements ( with ...
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İçindekiler
THE THEORY OF DECREASING SEQUENCES | 706 |
1 Main definitions and terminology | 712 |
Theorem on lacunary isomorphism | 719 |
Telif Hakkı | |
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action algebra analytic apply approximation arbitrary assume belongs boundary bounded called closed coefficients coincides compact complete condition cone Consequently consider consists constant constructed contains continuous Corollary corresponding defined definition denote depends determined differential domain elements English transl equal equation equivalent estimate example exists finite fixed follows formula function given homogeneous ideal identity implies independent inequality integral introduce invariant irreducible isomorphic Lemma limit linear mapping Math Mathematical means measure metric Moreover neighborhood obtain operator parabolic particular partition plane polynomials positive problem projection Proof properties Proposition proved relation Remark representation respect satisfying sequence similar smooth solution space spectrum standard statement Subsection sufficiently Theorem theory transformation valid values variables vector weight zero