CHARACTERIZATION OF UNIFORM FR´ECHET ALGEBRAS IN WHICH EVERY ELEMENT IS THE SQUARE OF ANOTHER

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NAJAFI TAVANI M.

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ISSN: 2588-4824

Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2009 | Volume:3 | Issue:3 Page(s): 291-300

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Title

CHARACTERIZATION OF UNIFORM FR´ECHET ALGEBRAS IN WHICH EVERY ELEMENT IS THE SQUARE OF ANOTHER

Author(s)

NAJAFI TAVANI M. | Issue Writer Certificate

Keywords

HEMICOMPACT SPACE

K-SPACE

UNIFORM ALGEBRA

UNIFORM FRECHET ALGEBRA

PROJECTIVE LIMIT

TOPOLOGICAL DIMENSION

INVERTIBLE

Abstract

Let X be a hemicompact K-SPACE and A be a UNIFORM FRECHET ALGEBRA on X. In this note we first show that if each element of a dense subset of A has square root in A then A=C(X) under certain condition. Then we show that G(C(X)), the group of INVERTIBLE elements of C(X), is dense in C(X) if and only if dimX, the covering dimension of X, does not exceed 1. Using this result we give a necessary and sufficient condition under which each continuous function on X is the square of another

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APA: Copy

NAJAFI TAVANI, M.. (2009). CHARACTERIZATION OF UNIFORM FR´ECHET ALGEBRAS IN WHICH EVERY ELEMENT IS THE SQUARE OF ANOTHER. MATHEMATICAL SCIENCES, 3(3), 291-300. SID. https://sid.ir/paper/322497/en

Vancouver: Copy

NAJAFI TAVANI M.. CHARACTERIZATION OF UNIFORM FR´ECHET ALGEBRAS IN WHICH EVERY ELEMENT IS THE SQUARE OF ANOTHER. MATHEMATICAL SCIENCES[Internet]. 2009;3(3):291-300. Available from: https://sid.ir/paper/322497/en

IEEE: Copy

M. NAJAFI TAVANI, “CHARACTERIZATION OF UNIFORM FR´ECHET ALGEBRAS IN WHICH EVERY ELEMENT IS THE SQUARE OF ANOTHER,” MATHEMATICAL SCIENCES, vol. 3, no. 3, pp. 291–300, 2009, [Online]. Available: https://sid.ir/paper/322497/en

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