APPROXIMATELY ALGEBRAIC TENSOR PRODUCTS

被引：1
|
作者：
Nikoufar, Ismail [1 ]
Rassias, Themistocles M. [2 ]
机构：
[1] Payame Noor Univ, Dept Math, Tehran, Iran
[2] Natl Tech Univ Athens, Dept Math, GR-15773 Athens, Greece
来源：
MISKOLC MATHEMATICAL NOTES | 2015年 / 16卷 / 01期
关键词：
algebraic tensor product; dual space; stability; HYERS-ULAM STABILITY; FUNCTIONAL-EQUATIONS; ADDITIVE MAPPINGS; BANACH-SPACES;
D O I：
10.18514/MMN.2015.1260
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X and Y be normed spaces over a complete field F with dual spaces X' and Y' respectively. Under certain hypotheses, for given x is an element of X, y is an element of Y and a mapping u from X' x Y' to F, we apply Hyers-Ulam approach to find a unique bounded bilinear mapping v near to u such that parallel to v parallel to = parallel to x circle times y parallel to.
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页码：361 / 368
页数：8
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