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Selfadjoint Means and Operator Monotone Functions.

Frank Hansen (1981)

Mathematische Annalen

Semigroups and resolvents of bounded variation, imaginary powers and H°° functional calculus.

R. de Laubenfels, K. Boyadzhiev (1992)

Semigroup forum

Several variable spectral theory in the noncommutative case

Ernst Albrecht (1982)

Banach Center Publications

Sharp estimates for the Ornstein-Uhlenbeck operator

Giancarlo Mauceri, Stefano Meda, Peter Sjögren (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $ℒ$ be the Ornstein-Uhlenbeck operator which is self-adjoint with respect to the Gauss measure $γ$ on $ℝ^{d} .$ We prove a sharp estimate of the operator norm of the imaginary powers of $ℒ$ on $L^{p} (γ),$ $1 < p < \infty ...$

Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications

José María Martell (2004)

Studia Mathematica

In the context of the spaces of homogeneous type, given a family of operators that look like approximations of the identity, new sharp maximal functions are considered. We prove a good-λ inequality for Muckenhoupt weights, which leads to an analog of the Fefferman-Stein estimate for the classical sharp maximal function. As a consequence, we establish weighted norm estimates for certain singular integrals, defined on irregular domains, with Hörmander conditions replaced by some estimates which do...

Sharpened Forms of an Inequality of Von Neumann.

Ky Fan (1987)

Mathematische Zeitschrift

Smooth operators in the commutant of a contraction

Pascale Vitse (2003)

Studia Mathematica

For a completely non-unitary contraction T, some necessary (and, in certain cases, sufficient) conditions are found for the range of the $H^{\infty}$ calculus, $H^{\infty} (T)$ , and the commutant, T’, to contain non-zero compact operators, and for the finite rank operators of T’ to be dense in the set of compact operators of T’. A sufficient condition is given for T’ to contain non-zero operators from the Schatten-von Neumann classes $S_{p}$ .

Sobre operadores de integración fraccional y algoritmos computacionales

Omar E. Meyer C., Shyam Kalla (1990)

Revista colombiana de matematicas

Some applications of fractional calculus to operator semigroups and functional calculus

José E. Galé (2007)

Banach Center Publications

We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in concrete L¹ examples.

Some applications of Schwarz lemma for operators.

Mishra, Akshaya Kumar (1989)

International Journal of Mathematics and Mathematical Sciences

Some results on dominant operators.

Yang, Youngoh (1998)

International Journal of Mathematics and Mathematical Sciences

Some vector inequalities for continuous functions of self-adjoint operators in Hilbert spaces.

Dragomir, S.S. (2011)

Journal of Inequalities and Applications [electronic only]

Spectral mapping framework

Anar Dosiev (2005)

Banach Center Publications

In this paper we suggest a general framework of the spectral mapping theorem in terms of parametrized Banach space bicomplexes.

Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras

Eva Fašangová, Pedro J. Miana (2005)

Studia Mathematica

We investigate the weak spectral mapping property (WSMP) $\bar{μ ̂ (σ (A))} = σ (μ ̂ (A))$ , where A is the generator of a ₀-semigroup in a Banach space X, μ is a measure, and μ̂(A) is defined by the Phillips functional calculus. We consider the special case when X is a Banach algebra and the operators $e^{A t}$ , t ≥ 0, are multipliers.

Spectral mapping theorem for fractional powers in locally convex spaces

Celso Martínez, Miguel Sanz (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Spectral mapping theorem for the local spectrum

Florian-Horia Vasilescu (1980)

Czechoslovak Mathematical Journal

Spectral projections, semigroups of operators, and the Laplace transform

Ralph deLaubenfels (1997)

Banach Center Publications

Spectral sets and the Drazin inverse with applications to second order differential equations

Trung Dinh Tran (2002)

Applications of Mathematics

The paper defines and studies the Drazin inverse for a closed linear operator $A$ in a Banach space $X$ in the case that $0$ belongs to a spectral set of the spectrum of $A$ . Results are applied to extend a result of Krein on a nonhomogeneous second order differential equation in a Banach space.

Spectral Theory and Sheaf Theory. II.

Mihai Putinar (1986)

Mathematische Zeitschrift

Spektraltheorie stetiger Endomorphismen eines lokal-konvexen Raumes.

Volker Wrobel (1978)

Mathematische Annalen

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