Order Isomorphisms – A Constructive Measure-Theoretic View

1990 ◽  
pp. 243-255 ◽  
Author(s):  
Douglas S. Bridges
Keyword(s):  
Order Isomorphisms

Order Isomorphisms of Operator Intervals

2017 ◽  
Vol 89 (1) ◽  
pp. 1-42 ◽  
Author(s):  
Peter Šemrl
Keyword(s):  
Order Isomorphisms

scholarly journals Order isomorphisms of Fourier algebras

1983 ◽  
Vol 50 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Wolfgang Arendt ◽  
Jean De Cannière
Keyword(s):  
Order Isomorphisms

Order isomorphisms and triple isomorphisms of operator ideals and their reflexivity

1997 ◽  
Vol 69 (6) ◽  
pp. 497-506 ◽  
Author(s):  
Lajos Moln�r ◽  
Peter ?emrl
Keyword(s):  
Operator Ideals ◽  
Order Isomorphisms

scholarly journals Order isomorphisms on function spaces

2013 ◽  
Vol 219 (2) ◽  
pp. 123-138 ◽  
Author(s):  
Denny H. Leung ◽  
Lei Li
Keyword(s):  
Function Spaces ◽  
Order Isomorphisms

Representation is representation of similarities

1998 ◽  
Vol 21 (4) ◽  
pp. 449-467 ◽  
Author(s):  
Shimon Edelman
Keyword(s):  
Internal Representation ◽  
Shape Space ◽  
Perceived Similarity ◽  
Unified Approach ◽  
Reference Shape ◽  
Order Isomorphisms ◽  
The World ◽  
Low Dimensional ◽  
Perceptual Systems ◽  
Basic Level

Advanced perceptual systems are faced with the problem of securing a principled (ideally, veridical) relationship between the world and its internal representation. I propose a unified approach to visual representation, addressing the need for superordinate and basic-level categorization and for the identification of specific instances of familiar categories. According to the proposed theory, a shape is represented internally by the responses of a small number of tuned modules, each broadly selective for some reference shape, whose similarity to the stimulus it measures. This amounts to embedding the stimulus in a low-dimensional proximal shape space spanned by the outputs of the active modules. This shape space supports representations of distal shape similarities that are veridical as Shepard's (1968) second-order isomorphisms (i.e., correspondence between distal and proximal similarities among shapes, rather than between distal shapes and their proximal representations). Representation in terms of similarities to reference shapes supports processing (e.g., discrimination) of shapes that are radically different from the reference ones, without the need for the computationally problematic decomposition into parts required by other theories. Furthermore, a general expression for similarity between two stimuli, based on comparisons to reference shapes, can be used to derive models of perceived similarity ranging from continuous, symmetric, and hierarchical ones, as in multidimensional scaling (Shepard 1980), to discrete and nonhierarchical ones, as in the general contrast models (Shepard & Arabie 1979; Tversky 1977).

scholarly journals Persistence of Banach lattices under nonlinear order isomorphisms

Positivity ◽  
2015 ◽  
Vol 20 (3) ◽  
pp. 709-717
Author(s):  
Denny H. Leung ◽  
Wee-Kee Tang
Keyword(s):  
Banach Lattices ◽  
Order Isomorphisms

scholarly journals The dominance order for permutations

2015 ◽  
Vol 25 (1) ◽  
pp. 45-62
Author(s):  
Niccoló Castronuovo
Keyword(s):  
Order Relation ◽  
Lattice Paths ◽  
Dominance Order ◽  
Young Tableaux ◽  
Order Relations ◽  
Order Isomorphisms ◽  
Set Of Permutations

Abstract We define an order relation over Sn considering the Robinson-Schensted bijection and the dominance order over Young tableaux. This order relation makes Sn(k k - 1...3 2 1) -the set of permutations of length n that avoid the pattern k k - 1...3 2 1, k ≤ n- a principal filter in Sn. We study in detail these order relations on Sn(321) and Sn(4321), finding order-isomorphisms between these sets and sets of lattice paths.

Sign in / Sign up

Export Citation Format

Share Document