Search Results - "Jung, Mingu"
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1
The Spectra of Banach Algebras of Holomorphic Functions on Polydisk-Type Domains
Published in The Journal of geometric analysis (01-02-2022)“…Aron et al. (Math Ann 353:293–303, 2012) proved that the Cluster Value Theorem in the infinite dimensional Banach space setting holds for the Banach algebra H…”
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2
A generalized ACK structure and the denseness of norm attaining operators
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-04-2023)“…Inspired by the recent work of Cascales et al., we introduce a generalized concept of ACK structure on Banach spaces. Using this property, which we call by the…”
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3
Rank-one perturbations and norm-attaining operators
Published in Mathematische Zeitschrift (01-04-2024)“…The main goal of this article is to show that for every (reflexive) infinite-dimensional Banach space X there exists a reflexive Banach space Y and T , R ∈ L (…”
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Norm-Attaining Tensors and Nuclear Operators
Published in Mediterranean journal of mathematics (01-02-2022)“…Given two Banach spaces X and Y , we introduce and study a concept of norm-attainment in the space of nuclear operators N ( X , Y ) and in the projective…”
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On quasi norm attaining operators between Banach spaces
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-07-2022)“…We provide a characterization of the Radon–Nikodým property for a Banach space Y in terms of the denseness of bounded linear operators into Y which attain…”
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6
Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions
Published in Advances in mathematics (New York. 1965) (15-05-2023)“…We show that the duals of Banach algebras of scalar-valued bounded holomorphic functions on the open unit ball BE of a Banach space E lack weak⁎-strongly…”
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7
Boundaries for Gelfand transform images of Banach algebras of holomorphic functions
Published in Mathematica scandinavica (01-01-2023)“…In this paper, we study boundaries for the Gelfand transform image of infinite dimensional analogues of the classical disk algebras. More precisely, given a…”
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Residuality in the set of norm attaining operators between Banach spaces
Published in Journal of functional analysis (15-01-2023)“…We study the relationship between the residuality of the set of norm attaining functionals on a Banach space and the residuality and the denseness of the set…”
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Some remarks on the weak maximizing property
Published in Journal of mathematical analysis and applications (15-12-2021)“…A pair of Banach spaces (E,F) is said to have the weak maximizing property (WMP, for short) if for every bounded linear operator T from E into F, the existence…”
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10
Daugavet Points in Projective Tensor Products
Published in Quarterly journal of mathematics (15-06-2022)“…Abstract In this paper, we are interested in studying when an element z in the projective tensor product $X {\widehat{\otimes}_\pi} Y$ turns out to be a…”
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11
On a Set of Norm Attaining Operators and the Strong Birkhoff–James Orthogonality
Published in Resultate der Mathematik (01-06-2023)“…Continuing the study of recent results on the Birkhoff–James orthogonality and the norm attainment of operators, we introduce a property namely the adjusted…”
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12
Weak-star quasi norm attaining operators
Published in Journal of mathematical analysis and applications (15-01-2024)“…For Banach spaces X and Y, a bounded linear operator T:X⟶Y⁎ is said to weak-star quasi attains its norm if the σ(Y⁎,Y)-closure of the image by T of the unit…”
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13
On the Lipschitz numerical index of Banach spaces
Published in Collectanea mathematica (Barcelona) (27-10-2023)Get full text
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14
The Bishop–Phelps–Bollobás properties in complex Hilbert spaces
Published in Mathematische Nachrichten (01-11-2021)“…In this paper, we consider the Bishop–Phelps–Bollobás point property for various classes of operators on complex Hilbert spaces, which is a stronger property…”
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15
Group Invariant Operators and Some Applications to Norm-Attaining Theory
Published in Resultate der Mathematik (01-02-2023)“…In this paper, we study geometric properties of the set of group invariant continuous linear operators between Banach spaces. In particular, we present group…”
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Group invariant separating polynomials on a Banach space
Published in Publicacions matemàtiques (2022)Get full text
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17
A note on numerical radius attaining mappings
Published 04-10-2022“…We prove that if every bounded linear operator (or $N$-homogeneous polynomials) with the compact approximation property attains its numerical radius, then $X$…”
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18
On norm-attainment in (symmetric) tensor products
Published in Quaestiones mathematicae (01-02-2023)“…In this paper, we introduce a concept of norm-attainment in the projective symmetric tensor product of a Banach space X, which turns out to be naturally…”
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19
The Bishop–Phelps–Bollobás Property and Absolute Sums
Published in Mediterranean journal of mathematics (01-06-2019)“…In this paper, we study conditions assuring that the Bishop–Phelps–Bollobás property (BPBp, for short) is inherited by absolute summands of the range space or…”
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20
Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions
Published 09-05-2021“…We show that the duals of Banach algebras of scalar-valued bounded holomorphic functions on the open unit ball $B_E$ of a Banach space $E$ lack…”
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