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Coarse equivalence versus bijective coarse equivalence of expander graphs
We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse...
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Inverse Operators
Notions of algebraic inverse operator and continuously invertible operator are studied. Criterion of continuous invertibility is formulated. Problems...
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Almost Invertible Operators
This paper aims to provide a thorough characterization of the family of all Cantor-Bendixson derivatives of the spectrum, Browder spectrum, and the...
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Surjectivity of linear operators and semialgebraic global diffeomorphisms
We prove that a C ∞ semialgebraic local diffeomorphism of ℝ n with non-properness set having codimension greater than or equal to 2 is a global...
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On the class of almost order Fredholm operators
In the current research paper, motivated by Fredholm theory, we introduce new classes of operators acting on Banach lattice spaces, called almost...
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Kernel embedding of measures and low-rank approximation of integral operators
We describe a natural coisometry from the Hilbert space of all Hilbert-Schmidt operators on a separable reproducing kernel Hilbert space
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Partially defined operators on locally Hilbert spaces
We investigate partially defined operators on inductive limits of Hilbert spaces, in order to introduce an operator theory for a class of linear...
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Complex FIOs and composition of Toeplitz operators
We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of complex quadratic forms, from the point of view of...
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On the relation of the frame-related operators of fusion frame systems
Frames have been investigated frequently over the last few decades due to their valuable properties, which are desirable for various applications as...
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Rota–Baxter operators on groups
The theory of Rota–Baxter operators on rings and algebras has been developed since 1960. In 2020, the notion of Rota–Baxter operator on a group was...
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Bijectivity of a Class of Lotka-Volterra Operators Defined on 2D-Simplex
ItPah, Ch.H. ROsli, A. is known that if Lotka-Volterra operators, defined on the simplex...
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Weighted composition operators on discrete weighted Banach spaces
We study weighted composition operators on weighted Banach spaces over unbounded, locally finite metric spaces. We characterize the operators that...
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Measurable Operators
This chapter presents the basic theory of measurable and \(\tau \)...
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Fredholm Weighted Composition Operators Between Lipschitz Algebras
Let X and Y be (not necessarily compact) metric spaces. We provide a complete description of Fredholm weighted composition operators between...
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Integral Operators on Lattices
As an abstraction and generalization of the integral operator in analysis, integral operators (known as Rota-Baxter operators of weight zero) on...
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Projection Method for a Class of Integral Operators with Bihomogeneous Kernels
AbstractWe consider the multidimensional integral operators with bihomogeneous kernels in the L 2 -space. For such operators, the necessary and...