Results 51 to 60 of about 7,097,033 (76)
International Statistical Review, Volume 93, Issue 2, Page 317-348, August 2025.Summary Statistical depth is the act of gauging how representative a point is compared with a reference probability measure. The depth allows introducing rankings and orderings to data living in multivariate, or function spaces. Though widely applied and with much experimental success, little theoretical progress has been made in analysing functional ...
George Wynne, Stanislav Nagy
wiley +1 more source
Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition [PDF]
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary and edge differential operators.
So, Bing Kwan
core
On Representations of Fredholm and Semi-Fredholm Spectra of Multi-Toeplitz Operators with Symbols inH∞+C [PDF]
, 1996 In this paper, we give the representations of Fredholm and semi-Fredholm spectra of multi-Toeplitz operators with symbols inH∞+C, and prove that, for ϕ1,…,ϕn∈H∞+C(n≥2), if (Tϕ1,…,Tϕn) is Fredholm, then ind(Tϕ1,…,Tϕn)=0, in contrast with the case of one ...
Shanli, Sun, Guangfu, Cao
core +1 more source
Perturbing Fredholm operators to obtain invertible operators [PDF]
, 1975 A condition is given on a set Ol of operators on Hilbert space that guarantees it has the following property: For any Fredholm operator T of index zero there exists an AϵA such that T + ϵA is invertible for all sufficiently small nonzero ϵ.
Widom, Harold
core +1 more source
A note on the index of $B$-Fredholm operators [PDF]
, 2004 summary:From Corollary 3.5 in [Berkani, M; Sarih, M.; Studia Math. 148 (2001), 251–257] we know that if $S$, $ T$ are commuting $B$-Fredholm operators acting on a Banach space $X$, then $ST$ is a $B$-Fredholm operator.
Zariouh, Hassan +4 more
core +1 more source
Stability of the index of a semi-Fredholm complex of Banach spaces [PDF]
, 1986 We prove the stability of the index and the semicontinuity of the dimensions of the cohomology groups of semi-Fredholm complexes of Banach spaces and closed linear operators with respect to perturbations of the operators and of the underlying spaces ...
Vasilescu, Florian-Horia +1 more
core +1 more source
Some geometric characteristics and perturbations of semi-Fredholm operators
, 2016 We consider some geometric characteristics of bounded operators on Banach spaces concerning the sets of upper and lower semi-Browder operators and left and right Browder operators.
Snezana Zivkovic-Zlatanovic
core +1 more source
Family index for Fredholm extensions of semi-Fredholm operators
This paper is devoted to Fredholm realizations of semi-Fredholm operators in a Hilbert space. Such a realization is determined by an abstract boundary condition, which is a subspace of the space of abstract boundary values.
Prokhorova, Marina
core
On Left and Right Semi-B-Fredholm Operators
To complete the study of Fredholm type operators of [10] and [11], we define in this paper the classes of left and right semi-B-Fredholm operators (Definition 3.1).
Hamdan, Alaa, Berkani, Mohammed
core