Results 231 to 240 of about 4,792,820 (293)
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1998
Let \(K\) be a field complete with respect to some valuation 1.1 and let \(E=(E,\|\cdot \|)\) be a \(K\)-Banach space. \(K\)-Banach spaces \(E\) such that for each closed subspace \(D\) there exists a linear surjective projection \(P:E\to D\) satisfying \(\| Px\|\leq\| x\|\) for all \(x\in E\) are called norm Hilbert spaces (NHS). The authors introduce
Ochsenius, H., Schikhof, W.H.
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Let \(K\) be a field complete with respect to some valuation 1.1 and let \(E=(E,\|\cdot \|)\) be a \(K\)-Banach space. \(K\)-Banach spaces \(E\) such that for each closed subspace \(D\) there exists a linear surjective projection \(P:E\to D\) satisfying \(\| Px\|\leq\| x\|\) for all \(x\in E\) are called norm Hilbert spaces (NHS). The authors introduce
Ochsenius, H., Schikhof, W.H.
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2023
AbstractThis chapter explores the basics of Hilbert spaces by using n-dimensional Euclidean space, he space of square-summable complex sequences, and the space of square-integrable, complex-valued Lebesgue-measurable function as examples. In addition, this chapter covers the Cauchy–Schwarz and triangle inequalities, orthonormal bases, and orthogonal ...
Stephan Ramon Garcia +2 more
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AbstractThis chapter explores the basics of Hilbert spaces by using n-dimensional Euclidean space, he space of square-summable complex sequences, and the space of square-integrable, complex-valued Lebesgue-measurable function as examples. In addition, this chapter covers the Cauchy–Schwarz and triangle inequalities, orthonormal bases, and orthogonal ...
Stephan Ramon Garcia +2 more
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1993
Professor Retherford's aim in this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory, leading to an elementary proof of the Lidskij trace theorem. He assumes the reader is familiar with only linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, self-adjoint,
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Professor Retherford's aim in this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory, leading to an elementary proof of the Lidskij trace theorem. He assumes the reader is familiar with only linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, self-adjoint,
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Extensions of Lipschitz mappings into Hilbert space
, 1984W. Johnson, J. Lindenstrauss
semanticscholar +1 more source
Harmonic Analysis of Operators on Hilbert Space
, 1970B. Szőkefalvi-Nagy +3 more
semanticscholar +1 more source
Theory of linear operators in Hilbert space
, 1961N. Akhiezer, I. M. Glazman
semanticscholar +1 more source
Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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