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Hermitian Yang–Mills connections on pullback bundles
We investigate hermitian Yang–Mills connections on pullback bundles with respect to adiabatic classes on the total space of holomorphic submersions...
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The Second Hessian Type Equation on Almost Hermitian Manifolds
In this paper, we derive the second order estimate to the 2nd Hessian type equation on a compact almost Hermitian manifold.
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Hermitian Polynomial Matrix Equations and Applications
In this chapter, we consider Hermitian polynomial matrix equations...
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Prescribed Webster Scalar Curvatures on Compact Pseudo-Hermitian Manifolds
In this paper, we investigate the problem of prescribing Webster scalar curvatures on compact pseudo-Hermitian manifolds. In terms of the method of...
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Unbounded Operators on the Segal–Bargmann Space
In this paper we analyse the domains of differential and multiplication operators on the Segal–Bargmann space. We consider the basic estimate for the...
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Perturbation Analysis on T-Eigenvalues of Third-Order Tensors
This paper concentrates on perturbation theory concerning the tensor T-eigenvalues within the framework of tensor-tensor multiplication. Notably, it...
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Perturbations of real parts of eigenvalues of bounded linear operators in a Hilbert space
Let A be a bounded linear operator in a complex separable Hilbert space ℌ, and S be a selfadjoint operator in ℌ. Assuming that A − S belongs to the...
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Monge—Ampère Type Equations on Almost Hermitian Manifolds
In this paper we consider the Monge–Ampère type equations on compact almost Hermitian manifolds. We derive C ∞ a priori estimates under the existence...
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Relatively Bounded Perturbations of J-Non-Negative Operators
We improve known perturbation results for self-adjoint operators in Hilbert spaces and prove spectral enclosures for diagonally dominant J -self-adjoin...
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Fully non-linear elliptic equations on compact almost Hermitian manifolds
In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds....
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The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds
In this paper, we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian manifolds. In the case of the hypercritical phase,...
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On Generalized Fredholm Operators in a Right Quaternionic Hilbert Space
The purpose of this paper, is to study and investigate a larger class of operators than the Fredholm ones, is the so-called, generalized Fredholm...
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Perturbation Theory
Physical systems, including quantum bits, are always subject to the influence of various interactions with an external world. Perturbation theory is...
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Some Aspects of the Spectral Theory of Unbounded Operators
We hope that the reader is well acquainted with basic courses of mathematical and functional analysis, in particular with the theory of linear...
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Solution to Infinity Problem of Scattering Matrix Using Time-Evolution Operators Without Needing Renormalization
The current situation of research challenging the demanding tasks of renormalization implies that the present framework of quantum scattering theory...
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Functional Models of Symmetric and Selfadjoint Operators
Let A be a closed simple symmetric operator with equal defect numbers acting in a Hilbert space, and let...
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An order relation between eigenvalues and symplectic eigenvalues of a class of infinite-dimensional operators
In this article, we obtain some results in the direction of “infinite-dimensional symplectic spectral theory”. We prove an inequality between the...
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Linear map**s on ordered vector spaces
Before we can start to analyze the generalized Riccati operators derived in the previous chapter, we have to deal with generalized Lyapunov operators...