Results 51 to 60 of about 11,294 (215)
An absolute continuity for positive operators on Banach lattices
For positive operators on a Banach lattice, absolute contnuity conditions are considered. An operator absolutely continuous with respect to T is compared to sums of compositions of T together with orthomorphisms or in special cases projections ...
W. Feldman +2 more
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Property (T) for groups acting on affine buildings
Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
wiley +1 more source
2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness
Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
wiley +1 more source
Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices
This paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mapping in Banach lattices. Moreover, we prove the existence of a unique solution for first-order ordinary differential equations with initial value ...
Xingchang Li, Zhihao Wang
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On the Replica Symmetric Solution in General Diluted Spin Glasses
ABSTRACT We present a unifying approach to studying the replica symmetric solution in general diluted spin glass models on random p$$ p $$‐uniform hypergraphs with sparsity parameter α$$ \alpha $$. Our result shows that there exist two key regimes in which the model exhibits replica symmetry and the free energy can be explicitly represented as the ...
Ratul Biswas, Wei‐Kuo Chen, Arnab Sen
wiley +1 more source
Means with values in a Banach lattice
Means, generalized means and invariant means (on a semigroup) with values in a Banach lattice are defined and studied.
R. Rao Chivukula, I. Ramabhadra Sarma
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Lattice Ordering on Banach Spaces [PDF]
the American Mathematical Society vol. 3 (1952) pp. 821-828. 2. Nils Sjoberg, Sur les minorantes sousharmoniques d'une fonction donnee, Proceedings of the Ninth Scandanavian Mathematical Congress, Helsingfors, 1938, pp. 309-319. 3. Marcel Brelot, Minorantes sous-harmoniques, extremales et capacites, J. Math. Pures Appl. (9) vol. 24 (1945) pp. 1-32.
openaire +1 more source
Quantitative expansivity for ergodic Zd$\mathbb {Z}^d$‐actions
Abstract We study expansiveness properties of positive measure subsets of ergodic Zd$\mathbb {Z}^d$‐actions along two different types of structured subsets of Zd$\mathbb {Z}^d$, namely, cyclic subgroups and images of integer polynomials. We prove quantitative expansiveness properties in both cases, strengthening combinatorial results from two distinct ...
Alexander Fish, Sean Skinner
wiley +1 more source
Substitutions on compact alphabets
Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
wiley +1 more source
On the Cohomology of Topological Semigroups
In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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