VOL. 1 · NO. 1 | Autumn 2016
Tsuyoshi Ando
Adv. Oper. Theory 1 (1), 1-7, (Autumn 2016) DOI: 10.22034/aot.1610.1035
KEYWORDS: square inequality, strong order relation, operator arithmetic-geometric mean inequality, Kantorovich constant, 47A63, 47A64
Jacek Chmieliński
Adv. Oper. Theory 1 (1), 8-14, (Autumn 2016) DOI: 10.22034/aot.1610.1021
KEYWORDS: Birkhoff orthogonality, orthogonality preserving mappings, orthogonality reversing mappings, linear similarities, characterizations of inner product spaces, 15A86, 15A04, 46B04, 46B20, 46C15, 47A62, 52A21
Silvestru Sever Dragomir
Adv. Oper. Theory 1 (1), 15-91, (Autumn 2016) DOI: 10.22034/aot.1610.1032
KEYWORDS: trace class operators, Hilbert-Schmidt operators, Trace, Schwarz inequality, Kato inequality, Cassels inequality, Shisha–Mond inequality, trace inequalities for matrices, power series of operators, 47A63, 47A99
Zoran Kadelburg, Antonella Nastasi, Stojan Radenović, Pasquale Vetro
Adv. Oper. Theory 1 (1), 92-103, (Autumn 2016) DOI: 10.22034/aot.1610.1030
KEYWORDS: $C^{*}$-algebra-valued $b$-metric space, $b$-metric space, cyclic type mapping, expansive mapping, 47H10, 54H25
Mario Krnić, Rozarija Mikić, Josip Pečarić
Adv. Oper. Theory 1 (1), 104-122, (Autumn 2016) DOI: 10.22034/aot.1610.1040
KEYWORDS: Positive linear functional, convex function, converse, Jensen inequality, Edmundson–Lah–Ribarič inequality, Hölder inequality, Hermite–Hadamard inequality, 26D15, 47B38, 26A51‎
Palle Jorgensen, Feng Tian
Adv. Oper. Theory 1 (1), 123-133, (Autumn 2016) DOI: 10.22034/aot.1610.1044
KEYWORDS: Gaussian free fields, ‎reproducing kernel Hilbert ‎space, discrete analysis, Green’s function, non-uniform sampling, 47L60, 46N20, 22E70
Ali Aral, Vijay Gupta
Adv. Oper. Theory 1 (1), 134-146, (Autumn 2016) DOI: 10.22034/aot.1609.1011
KEYWORDS: $(p, q)$-beta function of second kind, $(p, q)$-gamma function, Baskakov operator, Durrmeyer variant, 41A25, 41A39
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