### Read e-book online A. D. Alexandrovs Problem for CAT(0)-Spaces PDF By Andreev P. D.

Read or Download A. D. Alexandrovs Problem for CAT(0)-Spaces PDF

Best mathematics books

Download e-book for iPad: Proceedings of International congress of mathematicians by S.D. Chatterji

Because the first ICM was once held in Zürich in 1897, it has develop into the top of mathematical gatherings. It goals at giving an summary of the present kingdom of alternative branches of arithmetic and its purposes in addition to an perception into the remedy of unique difficulties of remarkable value. The lawsuits of the ICMs have supplied a wealthy chronology of mathematical improvement in all its branches and a distinct documentation of latest examine.

Download e-book for iPad: Oeuvres scientifiques, Collected papers, - (1951-1964) by Andre Weil

From the reports: "вЂ¦All of WeilвЂ™s works aside from books and lecture notes are compiled the following, in strict chronological order for simple reference. however the price вЂ¦ is going past the benefit of straightforward reference and accessibility. within the first position, those volumes include a number of essays, letters, and addresses which have been both released in imprecise areas (вЂ¦) or now not released in any respect.

Additional resources for A. D. Alexandrovs Problem for CAT(0)-Spaces

Example text

0 F o is said to be s-homogeneous (a) Y if F o ( t U ) ffi t a Fo(U) holds for each (b) Let t ~ 0 F o be an a-homogeneous homogeneous F 8 tn u e X. operator. F with respect to t n ~ O, Un---A Us, (c) and all Fo if F (Un/t n) is said to be a-strongly is said to be a-quasi- ~ g ~ Y~Fo(U quasihomogeneous o) = g • with respect to Fo, if t n ~ O, Un---Au O > t~ F(un/t n) R e m a r k . The definition essentially [141). in > Fo(U O) e Y. g. was i n t r o d u c e d ~36~. 1. Let X and Y be two Banach s p a c e s , >Y, ~Y.

A continuous if : transfor- - (i) T is continuous, (ii) if M 36 - is bounded subset of Now let K {Vl, ... , Vp~ E, then be a compact set and be an £ - n e t of K K. For T(M) is compact. its closure. 2. Let T [Ix - vill ~ ~- , if tlx - v itl > £ • be a completely continuous mapping with M, a bounded subset of defined on K X, and let as described above. If liT(x) ~roof. if l~T(x) - F~ T ( x ) - F[ T ( x ) ~ I < ~ F£ be x e M, then • I% = mi(T(x)) iffil T(M) = K. Let v i /l i=l P ~-i=l P ~-- mi(T(x)) i=l miCT(x)) liT(x) - v i II < £.

The definition essentially [141). in > Fo(U O) e Y. g. was i n t r o d u c e d ~36~. 1. Let X and Y be two Banach s p a c e s , >Y, ~Y. If F i s a - h o m o g e n e o u s and s t r o n g l y a-quasihomogeneous with respect ('b) F : X If F is a-homogeneous to and strongly closed, then F is F. 2. F o : X--~Y. Let F to Then Fo that X and be an u e X Y to F. with respect be two Banach s~aces, a-strongly to Fo, Un---~u o >Y, operator continuous. it is t a F(u/t) = Fo(U) in X in (Un) Y. ) Let with respect For - Fo i s a - h o m o g e n e o u s .

Download PDF sample

### A. D. Alexandrovs Problem for CAT(0)-Spaces by Andreev P. D.

by Jason
4.0

Rated 4.56 of 5 – based on 24 votes