STRONG TOPOLOGICAL REGULARITY AND WEAK REGULARITY OF BANACH ALGEBRAS

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SHADAB M.; ESSLAMZADEH G.H.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2011 | Volume:22 | Issue:1 Page(s): 71-74

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Information Journal Paper

Title

STRONG TOPOLOGICAL REGULARITY AND WEAK REGULARITY OF BANACH ALGEBRAS

Author(s)

SHADAB M. | ESSLAMZADEH G.H. | Issue Writer Certificate

Keywords

STRONGLY TOPOLOGICALLY REGULARQ3

WEAKLY REGULARQ3

Abstract

In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain the following non-commutative analog of a result of Kaplansky. A bounded operator T on a Banach space X whose point spectrum sp(T) contains a nonzero complex number, is WEAKLY REGULAR.

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APA: Copy

SHADAB, M., & ESSLAMZADEH, G.H.. (2011). STRONG TOPOLOGICAL REGULARITY AND WEAK REGULARITY OF BANACH ALGEBRAS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 22(1), 71-74. SID. https://sid.ir/paper/84066/en

Vancouver: Copy

SHADAB M., ESSLAMZADEH G.H.. STRONG TOPOLOGICAL REGULARITY AND WEAK REGULARITY OF BANACH ALGEBRAS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2011;22(1):71-74. Available from: https://sid.ir/paper/84066/en

IEEE: Copy

M. SHADAB, and G.H. ESSLAMZADEH, “STRONG TOPOLOGICAL REGULARITY AND WEAK REGULARITY OF BANACH ALGEBRAS,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 22, no. 1, pp. 71–74, 2011, [Online]. Available: https://sid.ir/paper/84066/en

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