Results 221 to 230 of about 9,060 (265)

Basics of Hilbert Space and Linear Operators

1991
Show that a finite set {x1,..., x n } of n vectors in a Hilbert space H is linearly independent if and only if the n × n matrix that has 〈x j , x k 〉in the (j, k) position is non-singular.
Richard Kadison, John Ringrose
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HOLOMORPHIC FAMILIES OF LINEAR OPERATORS IN BANACH SPACES

SUT Journal of Mathematics, 1997
Summary: Given two closed linear operators \(T\) and \(A\) in a Banach space, a sufficient condition is presented for the family \(\{T(\kappa);\text{ Re }\kappa> a\}= \{T+\kappa A;\text{ Re }\kappa> a\}\), \(a\in\mathbb{R}\), to be holomorphic of type (A).
Borisov, Victor, Okazawa, Noboru
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On probabilistic norm of a linear operators and space of operators

Applied Mathematics and Mechanics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ROUGH IDEAL CONVERGENT SEQUENCE SPACES OF BOUNDED LINEAR OPERATORS

South East Asian Journal of Mathematics and Mathematical Sciences, 2023
In this paper, using the concept of rough ideal convergence in normedlinear spaces, we introduce rough ideal convergence for bounded linear operators.We also introduce some rough ideal convergent sequence spaces of bounded linearoperators and further investigate and study some inclusion relations of these spaces,decomposition theorem and algebraic ...
Sharma, Shivani, Mishra, Sanjay
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Representation of certain Linear Operators in Hilbert Space

Canadian Journal of Mathematics, 1971
In this paper we represent certain linear operators in a space with indefinite metric. Such a space may be a pair ( H, B ), where H is a separable Hilbert space, B is a bilinear functional on H
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Interpolation of linear operators in Orlicz spaces

Functional Analysis and Its Applications, 1988
In this short note there are considered Orlicz spaces \(L^*_{\phi}(\Omega,\mu)\) defined for a given N-function \(\phi\) \((\phi \approx u^ p ...
Chen, Guan-zhun, Men, Bo-tsin
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Best Approximation of Linear Operators in Hilbert Spaces

SIAM Journal on Numerical Analysis, 1968
Verf. hat in [J. Math. Anal. Appl. 24, 1--24 (1968; Zbl 0188.43702)] die optimale Approximation linearer Funktionale auf Hilbert-Räumen behandelt; hier beschäftigt er sich mit diesem Problem für lineare beschränkte Operatoren. Es seien \(E\), \(F\), \(E_h\) und \(F_h\) Hilbert-Räume \((h\) aus einer Indexmenge), ferner seien \(r_h\in [E,E_h]\) und ...
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Robust Stability of Linear Evolution Operators on Banach Spaces

SIAM Journal on Control and Optimization, 1994
This paper introduces a stability radius for a wide class of linear infinite-dimensional time-varying systems under structured time-varying perturbations. A framework is presented that allows the same degree of unboundedness in the perturbations as in the generator of the nominal model.
Hinrichsen, D., Pritchard, A. J.
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Metric Generalized Inverse of Linear Operator in Banach Space

Chinese Annals of Mathematics, 2003
Adapted from the authors' abstract: ``The Moore-Penrose metric generalized inverse \(T^+\) of a linear operator \(T\) between Banach spaces is systematically investigated. Unlike the case of Hilbert space, even if \(T\) is a linear operator on a Banach space, \(T^+\) may be nonhomogeneous and nonlinear.
Wang, Hui, Wang, Yuwen
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Fundamental Spaces and Operators of Linear Hydrodynamics

2001
In this chapter we investigate the fundamental operators of vector analysis and their applications to the study of vector fields from L2 (Ω). Since such fields are not required to be smooth, the Riesz theorem on the representation of linear functionals is going to play a significant role.
Nikolay D. Kopachevsky, Selim G. Krein
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