TY - CHAP
T1 - Embeddings. Minimality and separability. Property
AU - Rubshtein, Ben Zion A.
AU - Grabarnik, Genady Ya
AU - Muratov, Mustafa A.
AU - Pashkova, Yulia S.
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - In this chapter we study minimal and separable symmetric spaces. The minimal part X0 of a symmetric space X is the closure of L1 ∩ L∞ in X, and X is minimal if X0 = X. We show that every separable symmetric space is minimal, and the converse is true under the additional condition φX(0+)= 0. We consider also an important property (A), which is equivalent to separability.
AB - In this chapter we study minimal and separable symmetric spaces. The minimal part X0 of a symmetric space X is the closure of L1 ∩ L∞ in X, and X is minimal if X0 = X. We show that every separable symmetric space is minimal, and the converse is true under the additional condition φX(0+)= 0. We consider also an important property (A), which is equivalent to separability.
UR - http://www.scopus.com/inward/record.url?scp=85006251622&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-42758-4_6
DO - 10.1007/978-3-319-42758-4_6
M3 - Chapter
AN - SCOPUS:85006251622
T3 - Developments in Mathematics
SP - 71
EP - 81
BT - Developments in Mathematics
PB - Springer New York LLC
ER -