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THE FUNDAMENTAL NOTIONS OF GENERAL ANALYSIS
SECTION PAGE 31 Introduction
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21 and modular 8r-limit 8r-system absolute value ai(p base matrix bilinear operator binary functional Cauchy-Schwarz inequality columns mode completely continuous conjugate transpose conjugates Consequently continuous mode converges mode Corollary defined Definition denoted denumerably infinite direct sum double limit double sum element equal equivalent evident exists a system finite rank finite right rank finite subset follows Hellinger-Toeplitz Theorem hence inequality iterated limit iterated sum J-inner product k12 is accordant k12 is modular linear transformation lower bound lower limit Ls'i matrix k12 mode 21 mode l12 mode of convergence modular functions modular matrices modular space modular vector modulus non-null subset norm notation number system 21 operator F partial sums positive number range rows of k12 scalar semi-uniformly sequence space of matrices sufficient condition swells system ai\l system of modular triangle property ultimately dense uniform convergence uniformly on relative upper bound upper limit vectors modular vergence weakly modular zero