Results 1 to 10 of about 490 (162)

ON MEASURES OF NONCOMPACTNESS IN INEQUALITIES

Научный вестник МГТУ ГА, 2017
Measures of noncompactness are numerical characteristics of bounded subsets of metric space, equal to zero on relatively compact subsets. The quantitative characteristic of measure of noncompactness of metric space subset was introduced by K. Kuratovskiy
N. A. Erzakova
doaj   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

A Study of Positive Solutions for Semilinear Fractional Measure Driven Functional Differential Equations in Banach Spaces

Mathematics
In this paper, we deal with the delayed measure differential equations with nonlocal conditions via measure of noncompactness in ordered Banach spaces. Combining (β,γk)-resolvent family, regulated functions and fixed point theorem with respect to convex ...
Jing Zhang, Haide Gou
doaj   +1 more source

Analysis of Dendritic Specializations in Two Classes of Kenyon Cells in the Mushroom Body of the Adult Honeybee, Apis mellifera

Journal of Comparative Neurology, Volume 534, Issue 5, May 2026.
Honeybee mushroom bodies (MBs), sites for learning and memory, house two classes of intrinsic neurons: class I and II Kenyon cells (KCs) that form synaptic complexes with boutons of projection neurons (PNs) from primary sensory neuropils. Dendrites of both KC classes were restricted to distinct unimodal MB compartments.
Andrea Rafaela Nicolaidou, Basil el Jundi, Wolfgang Rössler, Claudia Groh   +3 more
wiley   +1 more source

Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill   +2 more
wiley   +1 more source

MEASURE OF NON-COMPACTNESS IN THE LORENTZ SPACES

Научный вестник МГТУ ГА, 2016
Geometric characteristics of regular spaces are determined. Examples of regular spaces are the Lebesgue and Lorentz spaces, in particular. For the Lorentz spaces an inequality for arbitrary subsets, connecting the measures of noncompactness and are ...
N. A. Erzakova
doaj  

The universal family of punctured Riemann surfaces is Stein

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley   +1 more source

Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces

Journal of Inequalities and Applications, 2016
In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi, Mohammad Mursaleen, Syed Abdul Mohiuddine   +2 more
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Alternative Approaches for Estimating Highest‐Density Regions

International Statistical Review, Volume 94, Issue 1, Page 97-120, April 2026.
Summary Among the variety of statistical intervals, highest‐density regions (HDRs) stand out for their ability to effectively summarise a distribution or sample, unveiling its distinctive and salient features. An HDR represents the minimum size set that satisfies a certain probability coverage, and current methods for their computation require ...
Nina Deliu, Brunero Liseo
wiley   +1 more source

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source