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Effective descriptions of bosonic systems can be considered complete. [PDF]
Nat CommunArzani F, Booth RI, Chabaud U.
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Bidirectional multi-nodes quantum teleportation using discrete-time quantum walk. [PDF]
Sci RepIkken N +6 more
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Sharp Conditions for the BBM Formula and Asymptotics of Heat Content-Type Energies. [PDF]
Arch Ration Mech AnalGennaioli L, Stefani G.
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2021
Abstract This chapter is a good introduction to Hilbert spaces and the elements of operator theory. The two leading sections contains staple topics such as the projection theorem, projection operators, the Riesz representation theorem, Bessel’s inequality, and the characterization of separable Hilbert spaces. Sections 7.3 and 7.4 contain
Carlo Alabiso, Ittay Weiss
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Abstract This chapter is a good introduction to Hilbert spaces and the elements of operator theory. The two leading sections contains staple topics such as the projection theorem, projection operators, the Riesz representation theorem, Bessel’s inequality, and the characterization of separable Hilbert spaces. Sections 7.3 and 7.4 contain
Carlo Alabiso, Ittay Weiss
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Proceedings of the London Mathematical Society, 1988
In a recent paper by \textit{V. D. Milman} and the author [Isr. J. Math. 54, 139-158 (1986; Zbl 0611.46022)] the notion of weak cotype 2 and weak type 2 Banach spaces were introduced. In the present paper the author considers the class of Banach spaces which are both of weak type 2 and weak cotype 2.
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In a recent paper by \textit{V. D. Milman} and the author [Isr. J. Math. 54, 139-158 (1986; Zbl 0611.46022)] the notion of weak cotype 2 and weak type 2 Banach spaces were introduced. In the present paper the author considers the class of Banach spaces which are both of weak type 2 and weak cotype 2.
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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,
openaire +1 more source