Results 121 to 130 of about 884 (163)

The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture. [PDF]

J Evol Equ
Caponi M, Carbotti A, Sapio F.
europepmc   +1 more source

Isolated steady solutions of the 3D Euler equations. [PDF]

Proc Natl Acad Sci U S A
Enciso A, Kepplinger W, Peralta-Salas D.
europepmc   +1 more source

A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]

Sci Rep
Hamood MM, Sharif AA, Ghadle KP.
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Parareductive Operators on Banach Spaces

Canadian Mathematical Bulletin, 1994
AbstractThis note gives a Banach space extension of the Hilbert space result due to P. A. Fillmore (see [3]). In particular, it is shown that the adjoint T* = A — iB of an operator T = A + iB (with A and B hermitian) is a polynomial in T if and only if T* leaves invariant every linear subspace invariant under T, and this is equivalent to the assertion ...
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Operators on Banach Space

2016
The Feynman operator calculus and the Feynman path integral develop naturally on Hilbert space. In this chapter we develop the theory of semigroups of operators, which is the central tool for both. In order to extend the theory to other areas of interest, we begin with a new approach to operator theory on Banach spaces. We first show that the structure
Tepper L. Gill, Woodford Zachary
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Adjoint Abelian Operators on Banach Space

Canadian Journal of Mathematics, 1969
I. In the first part of this paper we introduce a new class of operators, mentioned in the title. It is easy to say that these are a generalization of self-adjoint operators for Hilbert space. This is deceptive since it implies that the definition of self-adjointness is forced into the unnatural setting of a Banach space. We feel that the definition of
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Partial Integral Operators on Banach–Kantorovich Spaces

Mathematical Notes, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arziev, A. D., Kudaybergenov, K. K., Orinbaev, P. R., Tangirbergen, A. K.   +3 more
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Superstable operators on Banach spaces

Israel Journal of Mathematics, 1993
The paper is devoted to study the spectrum of bounded linear operators on Banach spaces. The main result given in Theorem 3.7 is that the spectrum of a power bounded linear operator on a superreflexive Banach space, situated on the unit circle, is countable if and only if this operator is superstable. The latter notion is introduced by using ultrapower
Nagel, Rainer, Räbiger, Frank
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Compact Operators on Banach Spaces

2001
In this chapter, we present some basic properties of compact operators in L(X, Y), where X and Y are Banach spaces. The results enable us to determine conditions under which certain integral equations have solutions in L p ([a, b]), 1 < p < ∞ or C([a, b]).
Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, Václav Zizler   +5 more
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k-BICOMPOUND OPERATORS ON BANACH SPACES

International Journal of Functional Analysis, Operator Theory and Applications, 2018
Summary: In this paper, we define and study a new class of operators on Banach spaces which is called \(k\)-bicompound operators. We use these operators to give a partial answer to two open problems in the literature (cf. [\textit{N. Bamerni} and \textit{A. Kiliçman}, Carpathian Math. Publ. 8, No. 1, 3--10 (2016; Zbl 1350.47005); \textit{N. Bamerni}, ``
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