VOL. 4 · NO. 1 | Winter 2019
 
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Articles
F‎. ‎J‎. ‎García-Pacheco, S. ‎Moreno-Pulido
Adv. Oper. Theory 4 (1), 1-23, (Winter 2019) DOI: 10.15352/aot.1712-1280
KEYWORDS: Bishop-Phelps-Bollobás, modulus, classical Banach spaces, 47A05, 46B20
Ilwoo Cho
Adv. Oper. Theory 4 (1), 24-70, (Winter 2019) DOI: 10.15352/aot.1802-1317
KEYWORDS: Free probability, representation, finite adele ring, semigroup dynamical system, weighted-semicircular element, 47L30, 47L55, 11R47, 11R56, 46L54
J.-P. Antoine, C. Trapani
Adv. Oper. Theory 4 (1), 71-98, (Winter 2019) DOI: 10.15352/aot.1802-1312
KEYWORDS: partial $*$-algebra, Banach partial $*$-algebra, $CQ^*$-algebra, partial inner product space, operators on Hilbert scale, 08A55, 46J10, 47L60
Gero Fendler, Michael Leinert
Adv. Oper. Theory 4 (1), 99-112, (Winter 2019) DOI: 10.15352/aot.1712-1275
KEYWORDS: convolution dominated operators, generalised $L^1$-algebras, symmetric locally compact group, 47B35, 43A20
Michael Gil'
Adv. Oper. Theory 4 (1), 113-139, (Winter 2019) DOI: 10.15352/aot.1801-1293
KEYWORDS: Banach space, resolvent, spectral variation, ‎integral operator, invariant chain of projections, 47A10, 47A55, 47G10, 47A11, 47A30
Allaberen Ashyralyev, Abdulgafur Taskin
Adv. Oper. Theory 4 (1), 140-155, (Winter 2019) DOI: 10.15352/aot.1711-1261
KEYWORDS: Neutron transport operator, fractional space, Slobodeckij space, positive operator, 47B65, 35A35, 35K30, 34B27
Nicolae Tiţa, Maria Talpău Dimitriu
Adv. Oper. Theory 4 (1), 156-163, (Winter 2019) DOI: 10.15352/aot.1802-1314
KEYWORDS: Banach Algebra, ideal, approximation number, 47A63, 47A58, 46H10
Teodor Banica
Adv. Oper. Theory 4 (1), 164-196, (Winter 2019) DOI: 10.15352/aot.1804-1342
KEYWORDS: quantum group, ‎free unitary group, Operator algebra, 46L65, 46L89
Satyajit Sahoo, ‎Namita Das, Debasisha Mishra
Adv. Oper. Theory 4 (1), 197-214, (Winter 2019) DOI: 10.15352/aot.1804-1359
KEYWORDS: ‎Aluthge transform, spectral radius, numerical radius, operator matrix, polar decomposition, 47A12, 47A63, 47A30
Luis Barreira, Claudia Valls
Adv. Oper. Theory 4 (1), 215-225, (Winter 2019) DOI: 10.15352/aot.1805-1364
KEYWORDS: exponential dichotomy, Growth rate, ‎nonautonomous dynamics, ‎70F05, ‎34D09
Stuart Bond, Ali Taheri
Adv. Oper. Theory 4 (1), 226-250, (Winter 2019) DOI: 10.15352/aot.1804-1356
KEYWORDS: Schwartz kernel‎, operator of Laplace transform type‎, Laplace-Beltrami operator, hypergeometric function, ‎ Maclaurin spectral function, Symmetric space, 47F05, 33C05, 33C20, 33C45, ‎ 47B25‎, 47D06, 47E05, 58J35
Nariman Abasov, Marat Pliev
Adv. Oper. Theory 4 (1), 251-264, (Winter 2019) DOI: 10.15352/aot.1804-1354
KEYWORDS: Lattice-normed space‎, ‎vector lattice‎‎, ‎orthogonally additive operator‎, ‎dominated $\mathcal{P}$-operator, ‎exact dominant‎, ‎‎laterally-to-order continuous operator‎, 47H30, 47H99
Sten Kaijser, Oleg I‎. ‎Reinov
Adv. Oper. Theory 4 (1), 265-283, (Winter 2019) DOI: 10.15352/aot.1805-1360
KEYWORDS: nuclear operator, tensor product, ‎approximation property‎‎, ‎space of bounded analytical functions, 46B28, ‎46E15
Ferenc Weisz
Adv. Oper. Theory 4 (1), 284-304, (Winter 2019) DOI: 10.15352/aot.1802-1319
KEYWORDS: Fourier transforms, ‎$\ell_1$-summability‎‎, Fejér summability, $\theta$-summability, ‎Lebesgue points, 42B08, 42A38, 42A24, 42B25
Fernanda Botelho, Holly Renaud
Adv. Oper. Theory 4 (1), 305-320, (Winter 2019) DOI: 10.15352/aot.1804-1351
KEYWORDS: open map, weak openness, ‎dense openness‎‎‎, ‎space of continuously differentiable functions, 46B20, ‎46E15
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