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.

引用

页码：361 / 368

页数：8

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