Complex strict convexity of certain Banach spaces |
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| Authors: | J E Jamison Irene Loomis C C Rousseau |
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| Institution: | (1) Department of Mathematical Sciences, Memphis State University, 38152 Memphis, TN, USA;(2) Department of Mathematics, Christian Brothers College, 38122 Memphis, TN, USA |
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| Abstract: | Istratescu's characterization of complex strict convex (csc) Banach spaces is used to show that a modulared sum of a sequence ofcsc Banach spaces is again acsc Banach space. The equivalence of the Strong Maximum Modulus Property and complex strict convexity is used to show thatL
1( ,X) iscsc whenX is (real) strictly convex and thatl
1(X
n) iscsc if and only if eachX
n iscsc. |
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| Keywords: | |
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