Scientiae Mathematicae Japonicae

Online ISSN : 1346-0447

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Volume 75, Issue 2

Scientiae Mathematicae Japonicae

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CHARACTERIZATION OF DIAGONALITY FOR OPERATORS

Takashi Itoh, Masaru Nagisa

2012 Volume 75 Issue 2 Pages 131-139
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_131

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AN ESTIMATE OF QUASI-ARITHMETIC MEAN FOR CONVEX FUNCTIONS

Jadranka Mi´ci´c Hot, Josip Peˇcari´c, Yuki Seo

2012 Volume 75 Issue 2 Pages 141-151
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_141

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PROXIMINALITY IN OPERATOR SPACES

Mohammad Sababheh, Roshdi Khalil

2012 Volume 75 Issue 2 Pages 153-161
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_153

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In this article, we study proximinality of some subspaces of operator spaces. Namely, the bounded linear operators and Nuclear operators.

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DUALITY OF CONDITIONAL ENTROPY ASSOCIATED WITH A COMMUTATIVE HYPERGROUP

Satoe Yamanaka

2012 Volume 75 Issue 2 Pages 163-176
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_163

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NAZAROV TYPE UNCERTAINTY INEQUALITY FOR FOURIER SERIES

A. Abouelaz, T. Kawazoe

2012 Volume 75 Issue 2 Pages 177-186
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_177

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We shall obtain an analogue of Nazarov’s uncertainty inequality for n-dimensional Fourier series from the one for n-dimensional Fourier transform. Some inequalities are new and better than ones deduced from a classical local uncertainty inequality.

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CONSTRUCTION OF SLOWLY INCREASING FUNCTIONS

Hiroshi Ando, Toshio Horiuchi, Eiichi Nakai

2012 Volume 75 Issue 2 Pages 187-201
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_187

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We construct a continuous and bijective function L : (0,∞) → (−∞,∞) which is increasing slower than any nth iterate of logarithmic function. Further, we construct a function which is increasing slower than any nth iterate of L. Using our method, we can construct more and more slowly increasing functions.

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COMPUTING K-THEORY GROUPS FOR TENSOR PRODUCTS OF C∗-ALGEBRAS

Takahiro Sudo

2012 Volume 75 Issue 2 Pages 203-215
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_203

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We compute the K-theory groups for the tensor product of two C∗-algebras, one of which is in the bootstrap category, and whose K-theory groups may have torsion, by using the Künneth theorem in the K-theory for operator algebras.

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UPPER ESTIMATIONS ON INTEGRAL OPERATOR MEANS

Jun Ichi Fujii, Masatoshi Fujii

2012 Volume 75 Issue 2 Pages 217-222
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_217

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For an interpolational path of symmetric operator means, one of the author introduced the integral mean and showed that it is not less than the original mean, which is a generalization of the fact that the logarithmic operator mean is not less than the geometric operator mean. In this paper, we show estimations for the integral mean from the above.

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CONVERGENCE THEOREMS FOR THE HENSTOCK-KURZWEIL INTEGRAL TAKING VALUES IN A VECTOR LATTICE

Toshiharu Kawasaki

2012 Volume 75 Issue 2 Pages 223-233
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_223

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In previous papers we defined a Denjoy integral and a Henstock-Kurzweil integral of mappings from a vector lattice into a complete vector lattice. In this paper we consider some convergence theorems for the Henstock-Kurzweil integral of mappings from a vector lattice with unit satisfying the principal projection property, in particular the real line, into a complete vector lattice.

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FUZZY TOPOLOGICAL PROPERTIES OF FUZZY POINTS AND ITS APPLICATIONS

H. MAKI, T. FUKUTAKE, M. KOJIMA, F. TAMARI, T. KONO, S. NITA, T. HAYAS ...

2012 Volume 75 Issue 2 Pages 235-253
Published: 2012
Released on J-STAGE: June 14, 2019

DOIhttps://doi.org/10.32219/isms.75.2_235

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