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The aim of this paper is twofold. Firstly, we introduce the concept of semi-partial isometry in a Banach algebra and carry out a comparison and a classification study for this concept. In particular, we show that in the context of $C^*$-algebras this concept coincides with the notion of partial isometry. Our results encompass several earlier ones concerning partial isometries in Hilbert spaces, Banach spaces and $C^*$-algebras. Finally, we study the notion of $(m, p)$-semi partial isometries.
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참고문헌 (20)
참고문헌 신청
A. A. Bourhim / 2010 / Linear maps preserving the minimum and reduced minimum moduli / J. Funct. Anal 285 (1) : 50 ~ 66
A. Bourhim / 2017 / Numerical radius and product of elements in C?-algebras / Linear Multilinear Algebra 65 (6) : 1108 ~ 1116
A. Browder / 1971 / On Bernstein’s inequality and the norm of hermitian operators / Amer. Math. Monthly 78 (8) : 871 ~ 873
C. Schmoeger / 2005 / On a question of Mbekhta / Extracta Math 20 (3) : 281 ~ 290
C. Schmoeger / 2009 / Generalized projections in Banach algebras / Linear Algebra Appl 430 (2-3) : 601 ~ 608
A. Bourhim / 2017 / Numerical radius and product of elements in C?-algebras / Linear Multilinear Algebra 65 (6) : 1108 ~ 1116
A. Browder / 1971 / On Bernstein’s inequality and the norm of hermitian operators / Amer. Math. Monthly 78 (8) : 871 ~ 873
C. Schmoeger / 2005 / On a question of Mbekhta / Extracta Math 20 (3) : 281 ~ 290
C. Schmoeger / 2009 / Generalized projections in Banach algebras / Linear Algebra Appl 430 (2-3) : 601 ~ 608
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