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Unit Preserving Isometries are Homomorphisms in Certain Lp

Unit Preserving Isometries are Homomorphisms in Certain Lp

(a) (แ“‚ 1 and แ“‚ 2 will always denote positive bounded measures of equal mass defined on sets X and F respectively. L p (แ“‚ 1 ) and L p (แ“‚ 2 ) will always be complex L p spaces. (b) M C L โˆž (แ“‚ 1 ) will always โ€ฆ