Open AccessNote on Arens regularity of symmetric tensor products
Author(s) -
Olena Taras,
Andriy Zagorodnyuk
Publication year - 2014
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.6.2.372-376
Subject(s) - mathematics , tensor product of hilbert spaces , symmetric tensor , banach space , tensor product , pure mathematics , tensor (intrinsic definition) , hilbert space , algebra over a field , mathematical analysis , tensor contraction , exact solutions in general relativity
We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained.