Home > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus > Traces and Determinants of Linear Operators
9%
Traces and Determinants of Linear Operators

Traces and Determinants of Linear Operators

          
5
4
3
2
1

International Edition


Premium quality
Premium quality
Bookswagon upholds the quality by delivering untarnished books. Quality, services and satisfaction are everything for us!
Easy Return
Easy return
Not satisfied with this product! Keep it in original condition and packaging to avail easy return policy.
Certified product
Certified product
First impression is the last impression! Address the book’s certification page, ISBN, publisher’s name, copyright page and print quality.
Secure Checkout
Secure checkout
Security at its finest! Login, browse, purchase and pay, every step is safe and secured.
Money back guarantee
Money-back guarantee:
It’s all about customers! For any kind of bad experience with the product, get your actual amount back after returning the product.
On time delivery
On-time delivery
At your doorstep on time! Get this book delivered without any delay.
Quantity:
Add to Wishlist

About the Book

I Finite Rank Operators.- 1 Trace and determinant for finite rank operators.- 2 Properties of the trace and determinant.- 3 Representations of the trace and determinant.- 4 Uniqueness of the trace and determinant.- 5 Von Koch form of the determinant.- 6 Fredholm form of the determinant.- 7 Plemelj-Smithies formulas.- 8 Polynomial operator pencils.- 9 Inversion formulas.- 10 Comments.- II Continuous Extension of Trace and Determinant.- 1 Extension problems and embedded algebras.- 2 Main theorems.- 3 Analyticity of the determinant and the Plemelj-Smithies formulas.- 4 Lipschitz conditions.- 5 Several remarks.- 6 Connections between the zeros of the determinant and the eigenvalues of an operator.- 7 Determinants of infinite matrices in Von Koch form.- 8 Comments.- III First Examples.- 1 The Poincaré determinant.- 2 Hill's method.- 3 The Von Koch-Riesz algebra.- 4 The Mennicken-Wagenführer algebra.- 5 The algebra D(?1).- 6 Comments.- IV Trace Class and Hilbert-Schmidt Operators in Hilbert Space.- 1 Preliminaries.- 2 Singular numbers.- 3 Inequalities for eigenvalues, diagonal elements and singular numbers.- 4 Additional inequalities for singular numbers.- 5 Ideal of trace class operators.- 6 Lidskii trace theorem.- 7 Hilbert-Schmidt operators.- 8 Tests of nuclearity for integral operators with continuous and Hilbert-Schmidt kernels.- 9 Integral operators with smooth kernels.- 10 Polynomial operator pencils.- 11 Classes Sp.- 12 Comments.- V Nuclear Operators in Banach Spaces.- 1 The Ruston-Grothendieck algebra of nuclear operators.- 2 Examples of nuclear operators in Banach spaces.- 3 Grothendieck trace theorem.- 4 Asymptotic behavior of eigenvalues of nuclear operators.- 5 Comments.- VI The Fredholm Determinant.- 1 The Fredholm determinant for integral operators with continuous and piecewise continuous kernels.- 2 The Algebra $${\mathcal{D}_\Omega }(\mathcal{H})$$. Hill's Method (revisited).- 3 Diagonally modified Fredholm determinant.- 4 A modification of the Plemelj-Smithies formula.- 5 Integral Operators in L1(T, ?, ?).- 6 Systems of integral equations.- 7 Comments.- VII Possible Values of Traces and Determinants. Perelson Algebras.- 1 Perelson algebras.- 2 Possible values of traces and determinants in Perelson algebras.- 3 Possible values in $${\mathcal{D}_\Omega }(\mathcal{H})$$.- 4 Comments.- VIII Inversion Formulas.- 1 General inversion formulas.- 2 Explicit formulas for resolvents of integral operators.- 3 Homogeneous integral equations.- 4 Comments.- IX Regularized Determinants.- 1 Extension problems.- 2 The main (extension) theorems for regularized determinants.- 3 Analyticity, Plemelj-Smithies formulas.- 4 Comments.- X Hilbert-Carleman Determinants.- 1 Integral operators with degenerate kernels.- 2 Integral operators on a class of Banach spaces.- 3 Hilbert-Schmidt integral operators.- 4 Mikhlin-Itskovich algebra.- 5 Algebra ?1.- 6 Diagonally modified Hilbert-Carleman determinant.- 7 Hilbert-Carleman determinant for infinite matrices.- 8 Comments.- XI Regularized Determinants of Higher Order.- 1 Main extension theorems.- 2 Analyticity and Plemelj-Smithies formulas.- 3 Preparation for the proof of Theorem IV.10.3.- 4 Proof of Theorem IV.10.3.- 5 Comments.- XII Inversion Formulas via Generalized Determinants.- 1 General case.- 2 Integral equations.- 3 Systems of Hill's equations.- 4 Comments.- XIII Determinants of Integral Operators with Semi-separable Kernels.- 1 Statement of the main theorem.- 2 Input-output representations.- 3 Cascade connection of systems.- 4 Inverse systems.- 5 Inversion of integral operators with semi-separable kernels.- 6 Indicator of integral operators.- 7 Computation of the Hilbert-Carleman and the Fredholm determinants.- 8 Spectra of integral operators with semi-separable kernels.- 9 Time invariant systems.- 10 Counting negative eigenvalues of a Hilbert-Schmidt operator via sign changes of a determinant.- 11 Comments.- XIV Algebras without the Approximation Property.- 1 A general class of algebr


Best Sellers



Product Details
  • ISBN-13: 9783764361778
  • Publisher: Birkhauser Basel
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 16 mm
  • Width: 156 mm
  • ISBN-10: 3764361778
  • Publisher Date: 15 Mar 2000
  • Height: 234 mm
  • No of Pages: 272
  • Series Title: Operator Theory, Advances and Applications
  • Weight: 557 gr


Similar Products

How would you rate your experience shopping for books on Bookswagon?

Add Photo
Add Photo

Customer Reviews

REVIEWS           
Click Here To Be The First to Review this Product
Traces and Determinants of Linear Operators
Birkhauser Basel -
Traces and Determinants of Linear Operators
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Traces and Determinants of Linear Operators

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book
    Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals



    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!