Schauder bases and diametrically complete sets with empty interior

2018 ◽  
Vol 463 (2) ◽  
pp. 452-460 ◽  
Author(s):  
Monika Budzyńska ◽  
Aleksandra Grzesik ◽  
Wiesława Kaczor ◽  
Tadeusz Kuczumow
Keyword(s):  
Empty Interior ◽  
Schauder Bases ◽  
Complete Sets

Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces

2020 ◽  
Vol 278 (7) ◽  
pp. 108418
Author(s):  
Monika Budzyńska ◽  
Tadeusz Kuczumow ◽  
Simeon Reich ◽  
Mariola Walczyk
Keyword(s):  
Banach Spaces ◽  
Empty Interior ◽  
Complete Sets

scholarly journals A Full Description of ω-Limit Sets of Cournot Maps Having Non-Empty Interior and Some Economic Applications

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 452
Author(s):  
Antonio Linero-Bas ◽  
María Muñoz-Guillermo
Keyword(s):  
Economic Models ◽  
Full Description ◽  
Cournot Model ◽  
Empty Interior ◽  
Limit Sets ◽  
Economic Applications

Given a continuous Cournot map F(x,y)=(f2(y),f1(x)) defined from I2=[0,1]×[0,1] into itself, we give a full description of its ω-limit sets with non-empty interior. Additionally, we present some partial results for the empty interior case. The distribution of the ω-limits with non-empty interior gives information about the dynamics and the possible outputs of each firm in a Cournot model. We present some economic models to illustrate, with examples, the type of ω-limits that appear.

scholarly journals Integrability, intertwiners and non-linear algebras in Calogero models

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Francisca Carrillo-Morales ◽  
Francisco Correa ◽  
Olaf Lechtenfeld
Keyword(s):  
Wave Functions ◽  
Energy Eigenstates ◽  
Conserved Charges ◽  
Low Level ◽  
Shift Operators ◽  
Non Linear ◽  
Complete Sets

Abstract For the rational quantum Calogero systems of type A1⊕A2, AD3 and BC3, we explicitly present complete sets of independent conserved charges and their nonlinear algebras. Using intertwining (or shift) operators, we include the extra ‘odd’ charges appearing for integral couplings. Formulæ for the energy eigenstates are used to tabulate the low-level wave functions.

Schauder Bases

1978 ◽  
Vol 85 (4) ◽  
pp. 256-257
Author(s):  
P. R. Halmos
Keyword(s):  
Schauder Bases

scholarly journals Informationally complete sets of Gaussian measurements

2013 ◽  
Vol 46 (48) ◽  
pp. 485303 ◽  
Author(s):  
Jukka Kiukas ◽  
Jussi Schultz
Keyword(s):  
Complete Sets

Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

1974 ◽  
Vol 15 (10) ◽  
pp. 1787-1799 ◽  
Author(s):  
B. R. Judd ◽  
W. Miller ◽  
J. Patera ◽  
P. Winternitz
Keyword(s):  
Enveloping Algebra ◽  
Commuting Operators ◽  
Complete Sets
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