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Spaces Of Vector Valued Continuous Functions by Jean Schmets

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1Spaces Of Vector-valued Continuous Functions

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  • Title: ➤  Spaces Of Vector-valued Continuous Functions
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 302.93 Mbs, the file-s for this book were downloaded 25 times, the file-s went public at Sun Aug 14 2022.

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2Nuclear Operators On Spaces Of Continuous Vector-valued Functions

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Let $\Omega$ be a compact Hausdorff space, let $E$ be a Banach space, and let $C(\Omega, E)$ stand for the Banach space of all $E$-valued continuous functions on $\Omega$ under supnorm. In this paper we study when nuclear operators on $C(\Omega, E)$ spaces can be completely characterized in terms of properties of their representing vector measures. We also show that if $F$ is a Banach space and if $T:\ C(\Omega, E)\rightarrow F$ is a nuclear operator, then $T$ induces a bounded linear operator $T^\#$ from the space $C(\Omega)$ of scalar valued continuous functions on $\Omega$ into $\slN(E,F)$ the space of nuclear operators from $E$ to $F$, in this case we show that $E^*$ has the Radon-Nikodym property if and only if $T^\#$ is nuclear whenever $T$ is nuclear.

“Nuclear Operators On Spaces Of Continuous Vector-valued Functions” Metadata:

  • Title: ➤  Nuclear Operators On Spaces Of Continuous Vector-valued Functions
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 4.69 Mbs, the file-s for this book were downloaded 89 times, the file-s went public at Mon Sep 23 2013.

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3Integral Operators On Spaces Of Continuous Vector-valued Functions

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Let $X$ be a compact Hausdorff space, let $E$ be a Banach space, and let $C(X,E)$ stand for the Banach space of $E$-valued continuous functions on $X$ under the uniform norm. In this paper we characterize Integral operators (in the sense of Grothendieck) on $C(X,E)$ spaces in term of their representing vector measures. This is then used to give some applications to Nuclear operators on $C(X,E)$ spaces.

“Integral Operators On Spaces Of Continuous Vector-valued Functions” Metadata:

  • Title: ➤  Integral Operators On Spaces Of Continuous Vector-valued Functions
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 5.74 Mbs, the file-s for this book were downloaded 101 times, the file-s went public at Mon Sep 23 2013.

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4Additive Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces

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Some additive reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.

“Additive Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces” Metadata:

  • Title: ➤  Additive Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 4.55 Mbs, the file-s for this book were downloaded 215 times, the file-s went public at Sat Jul 20 2013.

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5Some Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Complex Hilbert Spaces

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Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in complex Hilbert spaces are given. Applications for complex-valued functions are provided as well.

“Some Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Complex Hilbert Spaces” Metadata:

  • Title: ➤  Some Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Complex Hilbert Spaces
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 3.21 Mbs, the file-s for this book were downloaded 106 times, the file-s went public at Sat Jul 20 2013.

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6Separating Maps Between Spaces Of Vector-valued Absolutely Continuous Functions

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In this paper we give a description of separating or disjointness preserving linear bijections on spaces of vector-valued absolutely continuous functions defined on compact subsets of the real line. We obtain that they are continuous and biseparating in the finite-dimensional case. The infinite-dimensional case is also studied.

“Separating Maps Between Spaces Of Vector-valued Absolutely Continuous Functions” Metadata:

  • Title: ➤  Separating Maps Between Spaces Of Vector-valued Absolutely Continuous Functions
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 4.76 Mbs, the file-s for this book were downloaded 80 times, the file-s went public at Sun Sep 22 2013.

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7Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces

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Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.

“Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces” Metadata:

  • Title: ➤  Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 3.24 Mbs, the file-s for this book were downloaded 117 times, the file-s went public at Sat Jul 20 2013.

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8Quadratic Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces

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Some quadratic reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.

“Quadratic Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces” Metadata:

  • Title: ➤  Quadratic Reverses Of The Continuous Triangle Inequality For Bochner Integral Of Vector-Valued Functions In Hilbert Spaces
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 3.37 Mbs, the file-s for this book were downloaded 200 times, the file-s went public at Sat Jul 20 2013.

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