[Turkmath:5324] MSGSU Matematik Seminerleri (24 Aralık 2021, 16:00)

[İpek Tuvay]

Sayın liste üyeleri,

MSGSÜ Matematik Bölümü Genel Seminerinde bu haftaki konuşmacımız Atılım
Üniversitesi'nden Serdar Ay. Seminer ile ilgili detaylar aşağıda yer
almaktadır. Bu hafta konuşmamızın saati normal saatinden farklı olarak
16:00'dır.
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*Time: *Friday, December 24, 2021 at 16:00

*Title: *Adjointable Operators of Barreled VH-Spaces  is a Locally
$C^*$-Algebra

*Abstract:* A VH-space (Vector Hilbert Space in the sense of Loynes) is a
complex complete locally convex space with a suitable ordered vector space
valued inner product. Examples of VH-spaces include, but is not limited to,
the chain of locally Hilbert $C^*$-modules, Hilbert $C^*$-modules and
Hilbert Spaces

    We prove that, on a Barreled VH-Space, the set of all adjointable
operators consists of bounded operators and is a Locally $C^*$-Algebra,
generalizing the well known corresponding fact from the theory of Locally
Hilbert $C^*$-modules.

    We pick a consequence of this result in the dilation theory of
VH-Spaces and show that, under the barreledness assumption, a necessary and
sufficient condition for the existence of VH-space linearisations,
equivalently, of reproducing kernel VH-Spaces, is satisfied automatically.

*Link: *
https://teams.microsoft.com/l/meetup-join/19%3a1eaca84648fa440e94bc4d7382675247%40thread.tacv2/1640000743761?context=%7b%22Tid%22%3a%22ddd5afa6-82d7-4e0e-b457-3000f5a23749%22%2c%22Oid%22%3a%22b11f2b28-e233-4b68-b781-77d2029695cb%22%7d
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*Gelecek konuşmalar için:* https://researchseminars.org/seminar/MSGSUMath

İyi günler dilerim,

İpek Tuvay
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