Results 11 to 20 of about 44 (44)
Fixed points and periodic points of semiflows of holomorphic maps
Abstract and Applied Analysis, Volume 2003, Issue 4, Page 217-260, 2003., 2003 Let ϕ be a semiflow of holomorphic maps of a bounded domain D in a complex Banach space. The general question arises under which conditions the existence of a periodic orbit of ϕ implies that ϕ itself is periodic. An answer is provided, in the first part of this paper, in the case in which D is the open unit ball of a J∗‐algebra and ϕ acts ...
Edoardo Vesentini
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On the extensions of infinite‐dimensional representations of Lie semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 4, Page 195-207, 2002., 2002 The necessary and sufficient conditions have been obtained for extendability of a Banach representation of a generating Lie semigroup S to a local representation of the Lie group G generated by S when the tangent wedge of S is a Lie semialgebra. The most convenient conditions we obtain correspond to the case of unitary representations. In this case, we
Adolf R. Mirotin
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Amenability and coamenability of algebraic quantum groups
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 10, Page 577-601, 2002., 2002 We define concepts of amenability and coamenability for algebraic quantum groups in the sense of Van Daele (1998). We show that coamenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient conditions for amenability or coamenability are obtained.
Erik Bédos +2 more
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Entropy considerations in the noncommutative setting
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 807-819, 2000., 2000 An analogue of the classical link between the relative entropy and Fisher information entropy is presented in the context of free probability theory. Several generalizations of the relative entropy in terms of density matrices are also discussed.
Patricia Giurgescu
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An application of the Sakai′s theorem to the characterization of H*‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 317-322, 1995., 1995 The well‐known Sakai′s theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow′s characterization theorem for associative H*‐algebras via two‐sided H*‐algebras. This proof completely avoids structure theory.
Borut Zalar
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, 2017 As earlier conjectured by several authors and much later established by Solèr (relying on partial results by Piron, Maeda–Maeda and other authors), from the lattice theory point of view, Quantum Mechanics may be formulated in real, complex or ...
Valter Moretti, Marco Oppio
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Absolute continuity and hyponormal operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 321-335, 1981., 1981 Let T be a completely hyponormal operator, with the rectangular representation T = A + iB, on a separable Hilbert space. If 0 is not an eigenvalue of T* then T also has a polar factorization T = UP, with U unitary. It is known that A, B and U are all absolutely continuous operators.
C. R. Putnam
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Classification of limits of upper triangular matrix algebras. [PDF]
, 1993 Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are ...
Hopenwasser, A. L., Power, Stephen C.
core
Non-selfadjoint operator algebras generated by unitary semigroups [PDF]
, 2017 The parabolic algebra was introduced by Katavolos and Power, in 1997, as the weak∗-closed operator algebra acting on L2(R) that is generated by the translation and multiplication semigroups.
Kastis, Eleftherios Michail +1 more
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This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years.
Bart, Harm.editor.edthttp://id.loc.gov/vocabulary/relators/edt +4 more
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