Results 91 to 100 of about 1,127,143 (202)
Demonstratio Mathematica, 1997 Let \(X\) be an infinite-dimensional complex Banach space, and let \(T\) be a bounded linear operator defined on \(X\) satisfying \(\dim T^{- 1}(0)= 0\), \(\dim X/T(X)= 1\) and \(\bigcap^\infty_{n= 1}T^n(X)= \{0\}\). Such an operator is known as a shift [\textit{R. M. Crownover}, Mich. Math. J. 19, 233-247 (1972; Zbl 0228.47016)]. If \(x_0\) is a fixed
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A new approach for the analysis of evolution partial differential equations on a finite interval
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı +2 more
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RETRO K-BANACH FRAMES IN BANACH SPACES
Poincare Journal of Analysis and Applications, 2018 Summary: The notions of $K$-frame and atomic system in Hilbert spaces were recently introduced by \textit{L. Găvruţa} [Appl. Comput. Harmon. Anal. 32, No. 1, 139--144 (2012; Zbl 1230.42038)]. In this paper, we extend these notions to a Banach space setting, define $K$-retro Banach frames in Banach spaces and observe that $K$-retro Banach frame is a ...
Shekhar, Chander +2 more
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Haar null closed and convex sets in separable Banach spaces. [PDF]
Bull Lond Math Soc, 2023 Ravasini D.
europepmc +1 more source
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1999 Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
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On Weakly Lindelof Banach Spaces
Rocky Mountain Journal of Mathematics, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Argyros, S., Mercourakis, S.
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EMBEDDING THEOREMS IN BANACH -VALUED SOBOLEV-LIOUVILLE SPACES AND THEIR APPLICATIONS
Electrica, 2002 In this paper we introduce a Banach- valued Sobolev-Liouville spaces associated with Banach spaces E1,E and some parameters and proved continuity and compacness of embedding operators in these spaces in terms of theory interpolations of Banach spaces ...
Veli SHAKHMUROV
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Invertible Operators on Banach Spaces [PDF]
Formalized Mathematics, 2019 Summary In this article, using the Mizar system [2], [1], we discuss invertible operators on Banach spaces. In the first chapter, we formalized the theorem that denotes any operators that are close enough to an invertible operator are also invertible by using the property of Neumann series.
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Generalized quasi-Banach sequence spaces and measures of noncompactness
Anais da Academia Brasileira de Ciências, 2013 Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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