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Displaying 121 – 140 of 152

The laplacian and the Dirac operator in infinitely many variables

R. J. Plymen (1980)

Compositio Mathematica

The Lévy laplacian and differential operators of 2-nd order in Hilbert spaces

Roman Lávička (1998)

Commentationes Mathematicae Universitatis Carolinae

We shall show that every differential operator of 2-nd order in a real separable Hilbert space can be decomposed into a regular and an irregular operator. Then we shall characterize irregular operators and differential operators satisfying the maximum principle. Results obtained for the Lévy laplacian in [3] will be generalized for irregular differential operators satisfying the maximum principle.

The mapping $ν_{x, y}$ in normed linear spaces with applications to inequalities in analysis.

Dragomir, S.S., Koliha, J.J. (1998)

Journal of Inequalities and Applications [electronic only]

The multiplication functions of Kučera

Kelly McKennon (1979)

Czechoslovak Mathematical Journal

The $n$ -dual space of the space of $p$ -summable sequences

Yosafat E. P. Pangalela, Hendra Gunawan (2013)

Mathematica Bohemica

In the theory of normed spaces, we have the concept of bounded linear functionals and dual spaces. Now, given an $n$ -normed space, we are interested in bounded multilinear $n$ -functionals and $n$ -dual spaces. The concept of bounded multilinear $n$ -functionals on an $n$ -normed space was initially intoduced by White (1969), and studied further by Batkunde et al., and Gozali et al. (2010). In this paper, we revisit the definition of bounded multilinear $n$ -functionals, introduce the concept of $n$ -dual spaces, and...

The Small Ball Theorem for Hilbert Spaces.

Jens Peter Reuss Christensen (1978)

Mathematische Annalen

The space of all bounded operators on Hilbert space does not have the approximation property

A. Szankowski (1978/1979)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Transformations canoniques linéaires dans les espaces de Hilbert

Michel Marias (1977/1978)

Séminaire Paul Krée

Two mappings related to semi-inner products and their applications in geometry of normed linear spaces

Sever Silvestru Dragomir, Jaromír J. Koliha (2000)

Applications of Mathematics

In this paper we introduce two mappings associated with the lower and upper semi-inner product ${(\cdot, \cdot)}_{i}$ and ${(\cdot, \cdot)}_{s}$ and with semi-inner products $[\cdot, \cdot]$ (in the sense of Lumer) which generate the norm of a real normed linear space, and study properties of monotonicity and boundedness of these mappings. We give a refinement of the Schwarz inequality, applications to the Birkhoff orthogonality, to smoothness of normed linear spaces as well as to the characterization of best approximants.