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Almost Summing Polynomials
Author(s) -
Botelho Geraldo
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/(sici)1522-2616(200003)211:1<25::aid-mana25>3.0.co;2-4
Subject(s) - mathematics , homogeneous , characterization (materials science) , banach space , class (philosophy) , pure mathematics , coincidence , type (biology) , orthogonal polynomials , combinatorics , medicine , ecology , materials science , alternative medicine , pathology , artificial intelligence , computer science , biology , nanotechnology
This paper introduces the class of almost summing homogeneous polynomials between Banach spaces. A characterization by means of vector‐valued sequences is proved, connections with the theory of absolutely summing polynomials are established and several examples are given. Some composition and coincidence theorems are obtained and the case of spaces with type or cotype is also investigated.