Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 722
This lemma can be proved by induction on the number of elements of y , with
Lemma 2.2 as the base . Suppose that the statement is proved for partitions with
p elements , and let y have p + 1 elements A1 , ... , Ap , Ap + 1 . Applying Lemma
2.2 ...
This lemma can be proved by induction on the number of elements of y , with
Lemma 2.2 as the base . Suppose that the statement is proved for partitions with
p elements , and let y have p + 1 elements A1 , ... , Ap , Ap + 1 . Applying Lemma
2.2 ...
Sayfa 735
Lemma 3.3 . A measurable set A is a - measurable with respect to a concordantly
enlargeable partition Sn E N ( EN ) ( i.e. , u ( AAA ) < a for some A ' E Azn ) if and
only if there exists some ke Kn such that 5 POAC ( x ) , k ) du ( x ) sa . Proof .
Lemma 3.3 . A measurable set A is a - measurable with respect to a concordantly
enlargeable partition Sn E N ( EN ) ( i.e. , u ( AAA ) < a for some A ' E Azn ) if and
only if there exists some ke Kn such that 5 POAC ( x ) , k ) du ( x ) sa . Proof .
Sayfa 1172
Lemma 4. The following inclusion is valid : CCM . Proof . This follows from the
relation eo = 1 . Lemma 5. There exists a set of potentials N COOC such that the
following properties are satisfied : 1 ) Each potential q e N is a continuous ...
Lemma 4. The following inclusion is valid : CCM . Proof . This follows from the
relation eo = 1 . Lemma 5. There exists a set of potentials N COOC such that the
following properties are satisfied : 1 ) Each potential q e N is a continuous ...
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İçindekiler
THE THEORY OF DECREASING SEQUENCES | 706 |
1 Main definitions and terminology | 712 |
Theorem on lacunary isomorphism | 719 |
Telif Hakkı | |
3 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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