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Isometry and phase-isometry of non-Archimedean normed spaces
In this paper, we study isometries and phase-isometries of non-Archimedean normed spaces. We show that every isometry f : S r ( X ) → S r ( X ), where X is...
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On the Figiel Type Problem and Extension of ε-Isometry Between Unit Spheres
This paper studies two isometric problems between unit spheres of Banach spaces. In the first part, we introduce and study the Figiel type problem of...
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On the Isometry Group of Immortal Homogeneous Ricci Flows
We establish a structure result for the isometry group of non-compact, homogeneous manifolds admitting an immortal homogeneous Ricci flow solution.
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On Invertible m-isometrical Extension of an m-isometry
We give necessary and sufficient conditions on an m -isometry to have an invertible m -isometrical extension. As particular cases, we give a useful...
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Antinormality and m-isometry of shift on weighted trees
The shift operator and its various generalizations are amongst the most widely studied operators on a Hilbert space. In this paper, we characterize...
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Appendix B The Laplacian as Isometry-Invariant Differential Operator
This appendix gathers some basic results which play an important role throughout the book. They concern local isometries, differentiable functions,...
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Operator Norm Attainment
Linear operators lie at the very heart of functional analysis and operator theory. As mentioned in the Preface, this monograph aims at exploring the...
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Twisted Isospectrality, Homological Wideness, and Isometry A Sample of Algebraic Methods in Isospectrality
The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of...
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Lipschitz geometry of operator spaces and Lipschitz-free operator spaces
We show that there is an operator space notion of Lipschitz embeddability between operator spaces which is strictly weaker than its linear...
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Real Structure in Operator Spaces, Injective Envelopes and G-spaces
We present some more foundations for a theory of real structure in operator spaces and algebras, in particular concerning the real case of the theory...
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Weighted numerical radius inequalities for operator and operator matrices
The concept of weighted numerical radius has been defined recently. In this article, we obtain several upper bounds for the weighted numerical radius...
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Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries
We determine the automorphism groups of the cyclic orbifold vertex operator algebras associated with coinvariant lattices for isometries of the Leech...
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Operator Theory on Noncommutative Polydomains, I
The goal of this paper is to study the noncommutative polydomains and their universal operator models generated by admissible k-tuples of formal...