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Eine abstrakte Theorie der Kegel‐ und Segmentbedingungen
Author(s) -
König H.,
Loch H.,
Leis R.
Publication year - 1980
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670020413
Subject(s) - mathematics , sobolev space , pure mathematics , decomposition theorem , type (biology) , cone (formal languages) , ecology , algorithm , biology
We develop an abstract theory of geometric regularity conditions for subsets of normed linear spaces, of the type which occurs in the theory of Sobolev spaces (cone conditions, …). The theory is to systematize the diversity of existing conditions, to replace complicated conditions by simpler ones, and to clarify the interplay between different conditions. Our main result is a very general decomposition theorem.