VOL. 2 · NO. 4 | Autumn 2017
 
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Articles
Robert Pluta, Bernard Russo
Adv. Oper. Theory 2 (4), 396-408, (Autumn 2017) DOI: 10.22034/aot.1705-1161
KEYWORDS: conditional expectation, Kadison inequality, retraction, triple homomorphism, JC*-triple, 46L99, 17C65
Anuradha Gupta, Karuna Mamtani
Adv. Oper. Theory 2 (4), 409-418, (Autumn 2017) DOI: 10.22034/aot.1701-1087
KEYWORDS: operators with compact resolvent, direct sums, Weyl’s Theorem, a-Weyl’s Theorem, Browder’s Theorem, 47A53, 47A10, 47A11
Dejenie Lakew
Adv. Oper. Theory 2 (4), 419-427, (Autumn 2017) DOI: 10.22034/aot.1703-1135
KEYWORDS: Sobolev space, Orthogonal decomposition, inner product, distance, 46E35, 46C15
Puja Ghosh, Debmalya Sain, Kallol Paul
Adv. Oper. Theory 2 (4), 428-434, (Autumn 2017) DOI: 10.22034/aot.1703-1137
KEYWORDS: Birkhoff-James Orthogonality, left syemmetric operator, right symmetric operator, 46B20, 47A30
Leandro Del Pezzo, Julio D. Rossi
Adv. Oper. Theory 2 (4), 435-446, (Autumn 2017) DOI: 10.22034/aot.1704-1152
KEYWORDS: $p$−Laplacian, fractional operators, variable exponents, 46E35, 45G10, ‎45P05‎
Alexander Helemskii
Adv. Oper. Theory 2 (4), 447-467, (Autumn 2017) DOI: 10.22034/aot.1706-1189
KEYWORDS: proto-Lambert space, L-bounded operator, proto-Lambert tensor product, Lambert space, Lambert tensor product, 46L07, 46M05
Muneo Chō, Biljana Načevska-Nastovska, Jun Tomiyama
Adv. Oper. Theory 2 (4), 468-474, (Autumn 2017) DOI: 10.22034/aot.1703-1147
KEYWORDS: Hilbert space, linear operator, conjugation, $m$-isometric operator, $m$-symmetric operator, 47A11, 47B25, 47B99
Arundhathi Krishnan, S. H. Kulkarni
Adv. Oper. Theory 2 (4), 475-493, (Autumn 2017) DOI: 10.22034/aot.1702-1112
KEYWORDS: direct sum, reduced Banach algebra, idempotent, pseudospectrum, spectrum, 47A10, 46H05, 47A12
Shavkat Ayupov, Karimbergen Kudaybergenov, Amir Alauadinov
Adv. Oper. Theory 2 (4), 494-505, (Autumn 2017) DOI: 10.22034/aot.1612-1074
KEYWORDS: matrix algebra, derivation‎, inner derivation, 2-local derivation, measurable operator, 46L57, 47B47, 47C15, 16W25
Stuart Day, Ali Taheri
Adv. Oper. Theory 2 (4), 506-515, (Autumn 2017) DOI: 10.22034/aot.1705-1163
KEYWORDS: Jacobi coefficients, symmetric spaces, Bell polynomials, Spectral functions, Laplace-Beltrami operator, Schwartzian kernels, Jacobi polynomials, 47E05, 33C05, 33C45, 35C05, 35C10, 47D06
Chokri Abdelkefi, Faten Rached
Adv. Oper. Theory 2 (4), 516-530, (Autumn 2017) DOI: 10.22034/aot.1704-1154
KEYWORDS: Dunkl operator, Dunkl transform, Dunkl translation operators, Dunkl convolution, Generalized Taylor formula, Besov–Dunkl spaces, 44A15, 46E30, 44A35
Jeongwook Chang, Chang-Kwon Choi, Jongjin Kim, Prasanna K. Sahoo
Adv. Oper. Theory 2 (4), 531-546, (Autumn 2017) DOI: 10.22034/aot.1706-1190
KEYWORDS: additive function, cosine-sine functional equation, exponential function, involution, stability, 39B82, 26D05
Marianne Terp
Adv. Oper. Theory 2 (4), 547-583, (Autumn 2017) DOI: 10.22034/AOT.1709-1231
KEYWORDS: $L^p$ Fourier transformation, locally compact group, Fourier algebra, positive definite function, 39B82, 44B20‎, 46C05
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