Quotient spaces of Marcinkiewicz spaces

1978 ◽  
Vol 19 (3) ◽  
pp. 498-500 ◽  
Author(s):  
E. V. Tokarev
Keyword(s):  
Quotient Spaces ◽  
Marcinkiewicz Spaces

scholarly journals Banach–Saks property in Marcinkiewicz spaces

2007 ◽  
Vol 336 (2) ◽  
pp. 1231-1258 ◽  
Author(s):  
S.V. Astashkin ◽  
F.A. Sukochev
Keyword(s):  
Marcinkiewicz Spaces

scholarly journals On the Truncation of Functions in Lorentz and Marcinkiewicz Spaces

1995 ◽  
Vol 25 (3) ◽  
pp. 857-866
Author(s):  
J. Appell ◽  
E.M. Semenov
Keyword(s):  
Marcinkiewicz Spaces

scholarly journals Quotient spaces defined by linear relations

1982 ◽  
Vol 32 (2) ◽  
pp. 227-232
Author(s):  
Árpád Száz ◽  
Géza Száz
Keyword(s):  
Linear Relations ◽  
Quotient Spaces

Bifurcation Diagrams and Quotient Topological Spaces Under the Action of the Affine Group of a Family of Planar Quadratic Vector Fields

2015 ◽  
Vol 25 (11) ◽  
pp. 1550150 ◽  
Author(s):  
Oxana Cerba Diaconescu ◽  
Dana Schlomiuk ◽  
Nicolae Vulpe
Keyword(s):  
Parameter Space ◽  
Group Action ◽  
Sufficient Conditions ◽  
Phase Portraits ◽  
Topological Spaces ◽  
Canonical Forms ◽  
Affine Transformations ◽  
Bifurcation Diagrams ◽  
Dimensional Parameter ◽  
Quotient Spaces

In this article, we consider the class [Formula: see text] of all real quadratic differential systems [Formula: see text], [Formula: see text] with gcd (p, q) = 1, having invariant lines of total multiplicity four and two complex and one real infinite singularities. We first construct compactified canonical forms for the class [Formula: see text] so as to include limit points in the 12-dimensional parameter space of this class. We next construct the bifurcation diagrams for these compactified canonical forms. These diagrams contain many repetitions of phase portraits and we show that these are due to many symmetries under the group action. To retain the essence of the dynamics we finally construct the quotient spaces under the action of the group G = Aff(2, ℝ) × ℝ* of affine transformations and time homotheties and we place the phase portraits in these quotient spaces. The final diagrams retain only the necessary information to capture the dynamics under the motion in the parameter space as well as under this group action. We also present here necessary and sufficient conditions for an affine line to be invariant of multiplicity k for a quadratic system.

Quotient Spaces Modulo Reductive Algebraic Groups

1972 ◽  
Vol 95 (3) ◽  
pp. 511 ◽  
Author(s):  
C. S. Seshadri
Keyword(s):  
Algebraic Groups ◽  
Quotient Spaces ◽  
Reductive Algebraic Groups

Marcinkiewicz spaces, commutators and non-commutative geometry

2011 ◽  
Vol 95 ◽  
pp. 89-95 ◽  
Author(s):  
Nigel J. Kalton
Keyword(s):  
Marcinkiewicz Spaces
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